113972040 has 384 divisors, whose sum is σ = 471744000. Its totient is φ = 23708160.

The previous prime is 113972021. The next prime is 113972069. The reversal of 113972040 is 40279311.

It is a junction number, because it is equal to n+sod(n) for n = 113971995 and 113972013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605205 + ... + 1605275.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^113972040 is an apocalyptic number.

113972040 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 113972040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

113972040 is an abundant number, since it is smaller than the sum of its proper divisors (357771960).

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

113972040 is a wasteful number, since it uses less digits than its factorization.

113972040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 113972040 is about 10675.7688247732. The cubic root of 113972040 is about 484.8411142140.

The spelling of 113972040 in words is "one hundred thirteen million, nine hundred seventy-two thousand, forty".