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112912464 = 2437261787
BaseRepresentation
bin1101011101011…
…10100001010000
321212110112210010
412232232201100
5212401144324
615112034520
72540511600
oct656564120
9255415703
10112912464
1158810895
1231992a40
131a514c12
1410dd2c00
159da5829
hex6bae850

112912464 has 120 divisors (see below), whose sum is σ = 345314208. Its totient is φ = 31691520.

The previous prime is 112912433. The next prime is 112912477. The reversal of 112912464 is 464219211.

It is a congruent number.

It is an unprimeable number.

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, 143079 + ... + 143865.

Almost surely, 2112912464 is an apocalyptic number.

112912464 is a gapful number since it is divisible by the number (14) 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 112912464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172657104).

112912464 is an abundant number, since it is smaller than the sum of its proper divisors (232401744).

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

112912464 is a wasteful number, since it uses less digits than its factorization.

112912464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 112912464 is about 10626.0276679482. The cubic root of 112912464 is about 483.3339425544. Note that the first 3 decimals are identical.

The spelling of 112912464 in words is "one hundred twelve million, nine hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 787 854 976 1176 1281 1464 1574 1708 2352 2361 2562 2928 2989 3148 3416 4722 5124 5509 5978 6296 6832 8967 9444 10248 11018 11956 12592 16527 17934 18888 20496 22036 23912 33054 35868 37776 38563 44072 47824 48007 66108 71736 77126 88144 96014 115689 132216 143472 144021 154252 192028 231378 264432 288042 308504 336049 384056 462756 576084 617008 672098 768112 925512 1008147 1152168 1344196 1851024 2016294 2304336 2352343 2688392 4032588 4704686 5376784 7057029 8065176 9409372 14114058 16130352 18818744 28228116 37637488 56456232 112912464