27525120

The number 27525120 is a positive integer that can be expressed in various forms and has several interesting properties. It is a composite number, meaning it has factors other than 1 and itself. The prime factorization of 27525120 is 2^5 * 3^2 * 5 * 7 * 11 * 13 * 17, indicating that it is the product of these prime numbers raised to their respective powers.

In terms of divisibility, 27525120 is divisible by all the primes in its factorization, as well as by any product of these primes. This makes it a highly composite number, a type of number with more divisors than any smaller positive integer.

The number 27525120 can also be represented in different bases. In base 10, it is written as 27525120. In binary, it is represented as 11010000000000000000000, and in hexadecimal, it is 1A80000.

In recreational mathematics, 27525120 is known as a Harshad number, also called a Niven number, because it is divisible by the sum of its digits (2+7+5+2+5+1+2+0 = 24). It is also a Smith number, a type of composite number whose digits sum to the same value as the sum of the digits of its prime factors.

Overall, 27525120 is a number with a rich mathematical structure, exhibiting properties related to its prime factorization, divisibility, and representation in different bases. Its status as a Harshad and Smith number further adds to its mathematical significance.