Why is 2520 a special number?

2520 is: the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple. half of 7! (5040), meaning 7 factorial, or 1×2×3×4×5×6×7.

What is the importance of the number 2520?

2520 is the smallest number that can exactly be divided by all integers (whole numbers) from 1 to 10, whether even or odd. It also happens to be divisible by 12, but not 11. The secret of the number 2520 is hidden in the multiplication of [7 × 30 × 12].

What number is a special number?

If the sum of the factorial of digits of a number (N) is equal to the number itself, the number (N) is called a special number.

Why 1729 is a magic number?

Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.

How many distinct prime factors does 2520 have?

There are 48 factors of 2520 of which 2520 itself is the biggest factor and its prime factors are 2, 3, 5, 7 The sum of all factors of 2520 is 9360.

Video #40│What is the SECRET of Number '2520'?

What are the factors of 2520?

The factors, also called divisors, of 2520 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.

Why is 6174 a magic number?

6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed).

Who discovered zero?

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.

Why Ramanujan number is special?

1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 - a cube of 10 is 1000 and a cube of 9 is 729; adding the two numbers results in 1729.

What is the most famous number in the world?

A survey launched by a British mathematics writer has found that seven is the world's favorite number, reports The Guardian. The results of the online survey were published on Tuesday, with three, eight and and four coming second, third and fourth.

What is the most beautiful number in the universe?

What Is So Special About The Number 1.61803? The Golden Ratio (phi = φ) is often called The Most Beautiful Number In The Universe. The reason φ is so extraordinary is because it can be visualized almost everywhere, starting from geometry to the human body itself!

What does special number mean?

A number is known as Special number when sum of the factorial of digits is equal to the original number (given number). Examples: Below are examples of numbers which are Special. Number to check : 145 1! + 4!

What is the smallest number in the world?

The smallest natural number is 1. Every natural number is a whole number. Every whole number is a natural number, except 0.

Who discovered Ramanujan number?

The Hardy-Ramanujan number stems from an anecdote wherein the British mathematician GH Hardy had gone to meet S Ramanujan in hospital. Hardy said that he came in a taxi having the number '1729', which the British mathematician described "as rather a dull one".

What did Ramanujan discovered in maths?

He worked out the Riemann series, the elliptic integrals, hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series, in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation.

Who invented 1?

Hindu-Arabic numerals, set of 10 symbols—1, 2, 3, 4, 5, 6, 7, 8, 9, 0—that represent numbers in the decimal number system. They originated in India in the 6th or 7th century and were introduced to Europe through the writings of Middle Eastern mathematicians, especially al-Khwarizmi and al-Kindi, about the 12th century.

Who created math?

Archimedes is regarded as one of the most notable Greek mathematicians. He is known as the Father of Mathematics.

What is the full name of maths?

The full form of MATH is “Mathematics“. Mathematics is the science that deals with the logic of form, quantity, and disposition. Mathematics includes the study of topics such as quantity (number theory), structure (algebra), space (geometry) and change (mathematical analysis).

What is a sad number?

The numbers for which the process of summing up of the squares of its digits ends in 1 are happy numbers. On the other hand, numbers that don't end in 1 are called unhappy or sad numbers.

What is a cute number?

A number is called cute if it has exactly four positive integral divisors.

How many positive integer factors does 2520?

The number 2,520 can be divided by 48 positive divisors (out of which 36 are even, and 12 are odd).

What is the LCM of 2520 and 10530?

So LCM(2520,10530) = 23 · 34 · 5 · 7 · 13 = 294,840.

How do I count factors in Python?