113827980 has 96 divisors (see below), whose sum is σ = 371750400. Its totient is φ = 26013120.

The previous prime is 113827927. The next prime is 113827997. The reversal of 113827980 is 89728311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17815 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (3872400).

Almost surely, 2^113827980 is an apocalyptic number.

113827980 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 113827980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185875200).

113827980 is an abundant number, since it is smaller than the sum of its proper divisors (257922420).

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

113827980 is a wasteful number, since it uses less digits than its factorization.

113827980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 113827980 is about 10669.0196363115. The cubic root of 113827980 is about 484.6367492955.

The spelling of 113827980 in words is "one hundred thirteen million, eight hundred twenty-seven thousand, nine hundred eighty".