112982256 has 160 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 35329536.

The previous prime is 112982251. The next prime is 112982291. The reversal of 112982256 is 652289211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112982256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112982251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824620 + ... + 824756.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 2^112982256 is an apocalyptic number.

112982256 is a gapful number since it is divisible by the number (16) 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 112982256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

112982256 is an abundant number, since it is smaller than the sum of its proper divisors (231995664).

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

112982256 is a wasteful number, since it uses less digits than its factorization.

112982256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 112982256 is about 10629.3111724138. The cubic root of 112982256 is about 483.4335060969.

The spelling of 112982256 in words is "one hundred twelve million, nine hundred eighty-two thousand, two hundred fifty-six".