113950320 has 160 divisors (see below), whose sum is σ = 408188160. Its totient is φ = 25989120.

The previous prime is 113950307. The next prime is 113950373. The reversal of 113950320 is 23059311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43611 + ... + 46149.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176).

Almost surely, 2^113950320 is an apocalyptic number.

113950320 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 113950320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

113950320 is an abundant number, since it is smaller than the sum of its proper divisors (294237840).

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

113950320 is a wasteful number, since it uses less digits than its factorization.

113950320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 113950320 is about 10674.7515193563. The cubic root of 113950320 is about 484.8103130397.

The spelling of 113950320 in words is "one hundred thirteen million, nine hundred fifty thousand, three hundred twenty".