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112704592 = 247111331227
BaseRepresentation
bin1101011011110…
…11110001010000
321212001222122011
412231323301100
5212323021332
615103352304
72535654550
oct655736120
9255058564
10112704592
11586896a0
12318b2694
131a471410
1410d7b160
159d63e47
hex6b7bc50

112704592 has 160 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 39052800.

The previous prime is 112704569. The next prime is 112704601. The reversal of 112704592 is 295407211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496383 + ... + 496609.

Almost surely, 2112704592 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 112704592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

112704592 is an abundant number, since it is smaller than the sum of its proper divisors (191275952).

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

112704592 is a wasteful number, since it uses less digits than its factorization.

112704592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 112704592 is about 10616.2418962644. The cubic root of 112704592 is about 483.0371542017.

The spelling of 112704592 in words is "one hundred twelve million, seven hundred four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 31 44 52 56 62 77 88 91 104 112 124 143 154 176 182 208 217 227 248 286 308 341 364 403 434 454 496 572 616 682 728 806 868 908 1001 1144 1232 1364 1456 1589 1612 1736 1816 2002 2288 2387 2497 2728 2821 2951 3178 3224 3472 3632 4004 4433 4774 4994 5456 5642 5902 6356 6448 7037 8008 8866 9548 9988 11284 11804 12712 14074 16016 17479 17732 19096 19976 20657 22568 23608 25424 28148 31031 32461 34958 35464 38192 39952 41314 45136 47216 49259 56296 62062 64922 69916 70928 77407 82628 91481 98518 112592 124124 129844 139832 154814 165256 182962 197036 227227 248248 259688 279664 309628 330512 365924 394072 454454 496496 519376 541849 619256 640367 731848 788144 908908 1006291 1083698 1238512 1280734 1463696 1817816 2012582 2167396 2561468 3635632 4025164 4334792 5122936 7044037 8050328 8669584 10245872 14088074 16100656 28176148 56352296 112704592