113826240 has 168 divisors, whose sum is σ = 427225968. Its totient is φ = 27586560.

The previous prime is 113826221. The next prime is 113826253. The reversal of 113826240 is 42628311.

113826240 is a `hidden beast` number, since 1 + 1 + 38 + 2 + 624 + 0 = 666.

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, 29884 + ... + 33476.

Almost surely, 2^113826240 is an apocalyptic number.

113826240 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 113826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213612984).

113826240 is an abundant number, since it is smaller than the sum of its proper divisors (313399728).

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

113826240 is a wasteful number, since it uses less digits than its factorization.

113826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113826240 is about 10668.9380914878. The cubic root of 113826240 is about 484.6342798610.

The spelling of 113826240 in words is "one hundred thirteen million, eight hundred twenty-six thousand, two hundred forty".