112933440 has 140 divisors (see below), whose sum is σ = 401816316. Its totient is φ = 30108672.

The previous prime is 112933439. The next prime is 112933441. The reversal of 112933440 is 44339211.

It is an interprime number because it is at equal distance from previous prime (112933439) and next prime (112933441).

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 23970816 = 9432^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112933441) 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 19 ways as a sum of consecutive naturals, for example, 23742 + ... + 28098.

Almost surely, 2^112933440 is an apocalyptic number.

112933440 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 112933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200908158).

112933440 is an abundant number, since it is smaller than the sum of its proper divisors (288882876).

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

112933440 is an equidigital number, since it uses as much as digits as its factorization.

112933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 112933440 is about 10627.0146325297. The cubic root of 112933440 is about 483.3638707090.

The spelling of 112933440 in words is "one hundred twelve million, nine hundred thirty-three thousand, four hundred forty".