113952240 has 120 divisors (see below), whose sum is σ = 386725248. Its totient is φ = 30067200.

The previous prime is 113952233. The next prime is 113952257. The reversal of 113952240 is 42259311.

113952240 is a `hidden beast` number, since 1 + 139 + 522 + 4 + 0 = 666.

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

It is a super-3 number, since 3×113952240³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 71937 + ... + 73503.

Almost surely, 2^113952240 is an apocalyptic number.

113952240 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 113952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624).

113952240 is an abundant number, since it is smaller than the sum of its proper divisors (272773008).

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

113952240 is a wasteful number, since it uses less digits than its factorization.

113952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113952240 is about 10674.8414508132. The cubic root of 113952240 is about 484.8130359531.

The spelling of 113952240 in words is "one hundred thirteen million, nine hundred fifty-two thousand, two hundred forty".