113893920 has 144 divisors (see below), whose sum is σ = 444225600. Its totient is φ = 26030592.

The previous prime is 113893891. The next prime is 113893921. The reversal of 113893920 is 29398311.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (113893921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4431 + ... + 15729.

It is an arithmetic number, because the mean of its divisors is an integer number (3084900).

Almost surely, 2^113893920 is an apocalyptic number.

113893920 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 113893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222112800).

113893920 is an abundant number, since it is smaller than the sum of its proper divisors (330331680).

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

113893920 is a wasteful number, since it uses less digits than its factorization.

113893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11316 counting only the distinct ones).

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

The square root of 113893920 is about 10672.1094447162. The cubic root of 113893920 is about 484.7303138081.

The spelling of 113893920 in words is "one hundred thirteen million, eight hundred ninety-three thousand, nine hundred twenty".