113830920 has 288 divisors, whose sum is σ = 448156800. Its totient is φ = 25909632.

The previous prime is 113830903. The next prime is 113830943. The reversal of 113830920 is 29038311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 476161 + ... + 476399.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^113830920 is an apocalyptic number.

113830920 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 113830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

113830920 is an abundant number, since it is smaller than the sum of its proper divisors (334325880).

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

113830920 is a wasteful number, since it uses less digits than its factorization.

113830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 113830920 is about 10669.1574175283. The cubic root of 113830920 is about 484.6409217312.

The spelling of 113830920 in words is "one hundred thirteen million, eight hundred thirty thousand, nine hundred twenty".