112978530 has 192 divisors, whose sum is σ = 363121920. Its totient is φ = 24482304.

The previous prime is 112978517. The next prime is 112978573. The reversal of 112978530 is 35879211.

112978530 is a `hidden beast` number, since 112 + 9 + 7 + 8 + 530 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999754 + ... + 999866.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 2^112978530 is an apocalyptic number.

112978530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112978530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

112978530 is an abundant number, since it is smaller than the sum of its proper divisors (250143390).

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

112978530 is a wasteful number, since it uses less digits than its factorization.

112978530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 112978530 is about 10629.1359009093. The cubic root of 112978530 is about 483.4281917136.

The spelling of 112978530 in words is "one hundred twelve million, nine hundred seventy-eight thousand, five hundred thirty".