113906520 has 512 divisors, whose sum is σ = 499968000. Its totient is φ = 22394880.

The previous prime is 113906503. The next prime is 113906537. The reversal of 113906520 is 25609311.

113906520 = T₇₁ + T₇₂ + ... + T₈₈₀.

113906520 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 652 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113906503) and next prime (113906537).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867290 + ... + 1867350.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^113906520 is an apocalyptic number.

113906520 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 113906520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

113906520 is an abundant number, since it is smaller than the sum of its proper divisors (386061480).

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

113906520 is a wasteful number, since it uses less digits than its factorization.

113906520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 113906520 is about 10672.6997521714. The cubic root of 113906520 is about 484.7481882675.

The spelling of 113906520 in words is "one hundred thirteen million, nine hundred six thousand, five hundred twenty".