112926240 has 288 divisors, whose sum is σ = 467026560. Its totient is φ = 24256512.

The previous prime is 112926217. The next prime is 112926283. The reversal of 112926240 is 42629211.

112926240 is a `hidden beast` number, since 11 + 29 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 171031 + ... + 171689.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^112926240 is an apocalyptic number.

112926240 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 112926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

112926240 is an abundant number, since it is smaller than the sum of its proper divisors (354100320).

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

112926240 is a wasteful number, since it uses less digits than its factorization.

112926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112926240 is about 10626.6758678337. The cubic root of 112926240 is about 483.3535983048.

The spelling of 112926240 in words is "one hundred twelve million, nine hundred twenty-six thousand, two hundred forty".