113510720 has 56 divisors (see below), whose sum is σ = 271653000. Its totient is φ = 45176832.

The previous prime is 113510707. The next prime is 113510723. The reversal of 113510720 is 27015311.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 87459904 = 5104^2 + 9352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113510692 and 113510701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113510723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72506 + ... + 74054.

Almost surely, 2^113510720 is an apocalyptic number.

113510720 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 113510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135826500).

113510720 is an abundant number, since it is smaller than the sum of its proper divisors (158142280).

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

113510720 is a wasteful number, since it uses less digits than its factorization.

113510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 113510720 is about 10654.1409789809. The cubic root of 113510720 is about 484.1860723895.

The spelling of 113510720 in words is "one hundred thirteen million, five hundred ten thousand, seven hundred twenty".