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112982632 = 23722331237
BaseRepresentation
bin1101011101111…
…11101001101000
321212121010000221
412232333221220
5212410421012
615113335424
72541223300
oct656775150
9255533027
10112982632
1158859584
1231a07574
131a53ab39
1411010600
159dbb507
hex6bbfa68

112982632 has 48 divisors (see below), whose sum is σ = 247686660. Its totient is φ = 48174336.

The previous prime is 112982621. The next prime is 112982633. The reversal of 112982632 is 236289211.

It can be written as a sum of positive squares in 2 ways, for example, as 112911876 + 70756 = 10626^2 + 266^2 .

It is not an unprimeable number, because it can be changed into a prime (112982633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90718 + ... + 91954.

Almost surely, 2112982632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112982632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123843330).

112982632 is an abundant number, since it is smaller than the sum of its proper divisors (134704028).

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

112982632 is a wasteful number, since it uses less digits than its factorization.

112982632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 112982632 is about 10629.3288593401. The cubic root of 112982632 is about 483.4340423782.

The spelling of 112982632 in words is "one hundred twelve million, nine hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1237 1631 1864 2474 3262 4948 6524 8659 9896 11417 13048 17318 22834 34636 45668 60613 69272 91336 121226 242452 288221 484904 576442 1152884 2017547 2305768 4035094 8070188 14122829 16140376 28245658 56491316 112982632