112993280 has 88 divisors (see below), whose sum is σ = 280766520. Its totient is φ = 43581440.

The previous prime is 112993277. The next prime is 112993291. The reversal of 112993280 is 82399211.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 112869376 = 352^2 + 10624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112993280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148100 + ... + 148860.

Almost surely, 2^112993280 is an apocalyptic number.

112993280 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 112993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140383260).

112993280 is an abundant number, since it is smaller than the sum of its proper divisors (167773240).

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

112993280 is an equidigital number, since it uses as much as digits as its factorization.

112993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 112993280 is about 10629.8297258235. The cubic root of 112993280 is about 483.4492289129.

The spelling of 112993280 in words is "one hundred twelve million, nine hundred ninety-three thousand, two hundred eighty".