112982730 has 96 divisors (see below), whose sum is σ = 318142080. Its totient is φ = 25603200.

The previous prime is 112982729. The next prime is 112982761. The reversal of 112982730 is 37289211.

It is a junction number, because it is equal to n+sod(n) for n = 112982691 and 112982700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221716 + ... + 222224.

It is an arithmetic number, because the mean of its divisors is an integer number (3313980).

Almost surely, 2^112982730 is an apocalyptic number.

112982730 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 112982730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159071040).

112982730 is an abundant number, since it is smaller than the sum of its proper divisors (205159350).

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

112982730 is a wasteful number, since it uses less digits than its factorization.

112982730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 112982730 is about 10629.3334692256. Note that the first 3 decimals coincide. The cubic root of 112982730 is about 483.4341821534.

It can be divided in two parts, 11298 and 2730, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 112982730 in words is "one hundred twelve million, nine hundred eighty-two thousand, seven hundred thirty".