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112830696 = 2332111091307
BaseRepresentation
bin1101011100110…
…10100011101000
321212022101121200
412232122203220
5212341040241
615110204200
72540021316
oct656324350
9255271550
10112830696
1158765410
1231953660
131a4b6934
1410db10b6
159d8b4b6
hex6b9a8e8

112830696 has 96 divisors (see below), whose sum is σ = 336679200. Its totient is φ = 33851520.

The previous prime is 112830671. The next prime is 112830727. The reversal of 112830696 is 696038211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112830696.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85675 + ... + 86981.

It is an arithmetic number, because the mean of its divisors is an integer number (3507075).

Almost surely, 2112830696 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 112830696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168339600).

112830696 is an abundant number, since it is smaller than the sum of its proper divisors (223848504).

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

112830696 is a wasteful number, since it uses less digits than its factorization.

112830696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 112830696 is about 10622.1794373848. The cubic root of 112830696 is about 483.2172421409.

It can be divided in two parts, 112830 and 696, that added together give a triangular number (113526 = T476).

The spelling of 112830696 in words is "one hundred twelve million, eight hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1307 1308 1962 2398 2614 2616 3597 3921 3924 4796 5228 7194 7842 7848 9592 10456 10791 11763 14377 14388 15684 21582 23526 28754 28776 31368 43131 43164 47052 57508 86262 86328 94104 115016 129393 142463 172524 258786 284926 345048 427389 517572 569852 854778 1035144 1139704 1282167 1567093 1709556 2564334 3134186 3419112 4701279 5128668 6268372 9402558 10257336 12536744 14103837 18805116 28207674 37610232 56415348 112830696