113389920 has 216 divisors, whose sum is σ = 450397584. Its totient is φ = 25901568.

The previous prime is 113389907. The next prime is 113389921. The reversal of 113389920 is 29983311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113389921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69757 + ... + 71363.

It is an arithmetic number, because the mean of its divisors is an integer number (2085174).

Almost surely, 2^113389920 is an apocalyptic number.

113389920 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 113389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225198792).

113389920 is an abundant number, since it is smaller than the sum of its proper divisors (337007664).

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

113389920 is a wasteful number, since it uses less digits than its factorization.

113389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 113389920 is about 10648.4703126787. The cubic root of 113389920 is about 484.0142517944.

The spelling of 113389920 in words is "one hundred thirteen million, three hundred eighty-nine thousand, nine hundred twenty".