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112462056 = 233272127251
BaseRepresentation
bin1101011010000…
…00100011101000
321211121122221100
412231000203220
5212242241211
615054241400
72533624500
oct655004350
9254548840
10112462056
1158533453
12317b6260
131a3b7bc5
1410d16a00
159d17156
hex6b408e8

112462056 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 31752000.

The previous prime is 112462043. The next prime is 112462073. The reversal of 112462056 is 650264211.

112462056 is a `hidden beast` number, since 11 + 24 + 620 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447931 + ... + 448181.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2112462056 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 112462056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

112462056 is an abundant number, since it is smaller than the sum of its proper divisors (246063384).

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

112462056 is a wasteful number, since it uses less digits than its factorization.

112462056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 112462056 is about 10604.8128696361. The cubic root of 112462056 is about 482.6904128233.

The spelling of 112462056 in words is "one hundred twelve million, four hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 251 252 254 294 381 392 441 502 504 508 588 753 762 882 889 1004 1016 1143 1176 1506 1524 1757 1764 1778 2008 2259 2286 2667 3012 3048 3514 3528 3556 4518 4572 5271 5334 6024 6223 7028 7112 8001 9036 9144 10542 10668 12299 12446 14056 15813 16002 18072 18669 21084 21336 24598 24892 31626 31877 32004 36897 37338 42168 49196 49784 56007 63252 63754 64008 73794 74676 95631 98392 110691 112014 126504 127508 147588 149352 191262 221382 223139 224028 255016 286893 295176 382524 442764 446278 448056 573786 669417 765048 885528 892556 1147572 1338834 1561973 1785112 2008251 2295144 2677668 3123946 4016502 4685919 5355336 6247892 8033004 9371838 12495784 14057757 16066008 18743676 28115514 37487352 56231028 112462056