113982240 has 96 divisors (see below), whose sum is σ = 363496896. Its totient is φ = 30018560.

The previous prime is 113982131. The next prime is 113982241. The reversal of 113982240 is 42289311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113982198 and 113982207.

It is not an unprimeable number, because it can be changed into a prime (113982241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38410 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (3786426).

Almost surely, 2^113982240 is an apocalyptic number.

113982240 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 113982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181748448).

113982240 is an abundant number, since it is smaller than the sum of its proper divisors (249514656).

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

113982240 is a wasteful number, since it uses less digits than its factorization.

113982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 113982240 is about 10676.2465314360. The cubic root of 113982240 is about 484.8555775036.

The spelling of 113982240 in words is "one hundred thirteen million, nine hundred eighty-two thousand, two hundred forty".