112993440 has 96 divisors (see below), whose sum is σ = 406788480. Its totient is φ = 25826304.

The previous prime is 112993429. The next prime is 112993501. The reversal of 112993440 is 44399211.

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

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 15 ways as a sum of consecutive naturals, for example, 13455 + ... + 20174.

It is an arithmetic number, because the mean of its divisors is an integer number (4237380).

Almost surely, 2^112993440 is an apocalyptic number.

112993440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112993440 is an abundant number, since it is smaller than the sum of its proper divisors (293795040).

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

112993440 is a wasteful number, since it uses less digits than its factorization.

112993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33654 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 112993440 is about 10629.8372518115. The cubic root of 112993440 is about 483.4494571029.

The spelling of 112993440 in words is "one hundred twelve million, nine hundred ninety-three thousand, four hundred forty".