113347920 has 320 divisors, whose sum is σ = 437114880. Its totient is φ = 23721984.

The previous prime is 113347919. The next prime is 113347931. The reversal of 113347920 is 29743311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1691727 + ... + 1691793.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^113347920 is an apocalyptic number.

113347920 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 113347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

113347920 is an abundant number, since it is smaller than the sum of its proper divisors (323766960).

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

113347920 is a wasteful number, since it uses less digits than its factorization.

113347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 113347920 is about 10646.4980157796. The cubic root of 113347920 is about 483.9544842566.

The spelling of 113347920 in words is "one hundred thirteen million, three hundred forty-seven thousand, nine hundred twenty".