113973840 has 120 divisors (see below), whose sum is σ = 389394720. Its totient is φ = 29866752.

The previous prime is 113973823. The next prime is 113973851. The reversal of 113973840 is 48379311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 113973795 and 113973804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41139 + ... + 43821.

It is an arithmetic number, because the mean of its divisors is an integer number (3244956).

Almost surely, 2^113973840 is an apocalyptic number.

113973840 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 113973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194697360).

113973840 is an abundant number, since it is smaller than the sum of its proper divisors (275420880).

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

113973840 is a wasteful number, since it uses less digits than its factorization.

113973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 113973840 is about 10675.8531275023. The cubic root of 113973840 is about 484.8436666219.

The spelling of 113973840 in words is "one hundred thirteen million, nine hundred seventy-three thousand, eight hundred forty".