113416320 has 128 divisors (see below), whose sum is σ = 380664000. Its totient is φ = 28643328.

The previous prime is 113416313. The next prime is 113416351. The reversal of 113416320 is 23614311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34926 + ... + 38034.

Almost surely, 2^113416320 is an apocalyptic number.

113416320 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 113416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190332000).

113416320 is an abundant number, since it is smaller than the sum of its proper divisors (267247680).

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

113416320 is a wasteful number, since it uses less digits than its factorization.

113416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113416320 is about 10649.7098552026. The cubic root of 113416320 is about 484.0518124074.

The spelling of 113416320 in words is "one hundred thirteen million, four hundred sixteen thousand, three hundred twenty".