113980 has 24 divisors (see below), whose sum is σ = 246960. Its totient is φ = 44160.

The previous prime is 113969. The next prime is 113983. The reversal of 113980 is 89311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 751 + ... + 889.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2¹¹³⁹⁸⁰ is an apocalyptic number.

113980 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 113980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480).

113980 is an abundant number, since it is smaller than the sum of its proper divisors (132980).

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

113980 is a wasteful number, since it uses less digits than its factorization.

113980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 113980 is about 337.6092415797. The cubic root of 113980 is about 48.4852401326.

The spelling of 113980 in words is "one hundred thirteen thousand, nine hundred eighty".