113593120 has 24 divisors (see below), whose sum is σ = 268364124. Its totient is φ = 45437184.

The previous prime is 113593097. The next prime is 113593121. The reversal of 113593120 is 21395311.

It can be written as a sum of positive squares in 2 ways, for example, as 112275216 + 1317904 = 10596^2 + 1148^2 .

It is a super-2 number, since 2×113593120² = 25806793822668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113593121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 354819 + ... + 355138.

Almost surely, 2^113593120 is an apocalyptic number.

113593120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113593120 is an abundant number, since it is smaller than the sum of its proper divisors (154771004).

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

113593120 is an equidigital number, since it uses as much as digits as its factorization.

113593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709972 (or 709964 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 113593120 is about 10658.0073184437. The cubic root of 113593120 is about 484.3032045929.

The spelling of 113593120 in words is "one hundred thirteen million, five hundred ninety-three thousand, one hundred twenty".