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112306392 = 23331124297
BaseRepresentation
bin1101011000110…
…10100011011000
321211022202102000
412230122203120
5212222301032
615051041000
72532405612
oct654324330
9254282360
10112306392
1158437500
1231740160
131a3620b3
1410cb5db2
159cd5e7c
hex6b1a8d8

112306392 has 96 divisors (see below), whose sum is σ = 342980400. Its totient is φ = 34024320.

The previous prime is 112306367. The next prime is 112306399. The reversal of 112306392 is 293603211.

112306392 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 639 + 2 = 666.

It is a super-2 number, since 2×1123063922 = 25225451368115328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112306399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23988 + ... + 28284.

Almost surely, 2112306392 is an apocalyptic number.

112306392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112306392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171490200).

112306392 is an abundant number, since it is smaller than the sum of its proper divisors (230674008).

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

112306392 is a wasteful number, since it uses less digits than its factorization.

112306392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 112306392 is about 10597.4710190687. The cubic root of 112306392 is about 482.4676051881.

The spelling of 112306392 in words is "one hundred twelve million, three hundred six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4297 4356 6534 8594 8712 12891 13068 17188 25782 26136 34376 38673 47267 51564 77346 94534 103128 116019 141801 154692 189068 232038 283602 309384 378136 425403 464076 519937 567204 850806 928152 1039874 1134408 1276209 1559811 1701612 2079748 2552418 3119622 3403224 4159496 4679433 5104836 6239244 9358866 10209672 12478488 14038299 18717732 28076598 37435464 56153196 112306392