113930880 has 256 divisors, whose sum is σ = 425952000. Its totient is φ = 25890816.

The previous prime is 113930851. The next prime is 113930893. The reversal of 113930880 is 88039311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658474 + ... + 658646.

It is an arithmetic number, because the mean of its divisors is an integer number (1663875).

Almost surely, 2^113930880 is an apocalyptic number.

113930880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212976000).

113930880 is an abundant number, since it is smaller than the sum of its proper divisors (312021120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113930880 is an equidigital number, since it uses as much as digits as its factorization.

113930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 113930880 is about 10673.8409206808. The cubic root of 113930880 is about 484.7827418183.

The spelling of 113930880 in words is "one hundred thirteen million, nine hundred thirty thousand, eight hundred eighty".