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112063392 = 2533722647
BaseRepresentation
bin1101010110111…
…11001110100000
321210212102002000
412223133032200
5212142012032
615041524000
72530344300
oct653371640
9253772060
10112063392
1158290981
1231643600
131a2a85cc
1410c51600
159c88e7c
hex6adf3a0

112063392 has 144 divisors (see below), whose sum is σ = 380358720. Its totient is φ = 32006016.

The previous prime is 112063381. The next prime is 112063409. The reversal of 112063392 is 293360211.

112063392 is a `hidden beast` number, since 1 + 1 + 20 + 633 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 41013 + ... + 43659.

It is an arithmetic number, because the mean of its divisors is an integer number (2641380).

Almost surely, 2112063392 is an apocalyptic number.

112063392 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 112063392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190179360).

112063392 is an abundant number, since it is smaller than the sum of its proper divisors (268295328).

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

112063392 is a wasteful number, since it uses less digits than its factorization.

112063392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2659 counting only the distinct ones).

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

The square root of 112063392 is about 10585.9998110712. Note that the first 3 decimals coincide. The cubic root of 112063392 is about 482.1193783840.

The spelling of 112063392 in words is "one hundred twelve million, sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 2647 3024 3528 4704 5292 5294 6048 7056 7941 10584 10588 14112 15882 18529 21168 21176 23823 31764 37058 42336 42352 47646 55587 63528 71469 74116 84704 95292 111174 127056 129703 142938 148232 166761 190584 222348 254112 259406 285876 296464 333522 381168 389109 444696 500283 518812 571752 592928 667044 762336 778218 889392 1000566 1037624 1143504 1167327 1334088 1556436 1778784 2001132 2075248 2287008 2334654 2668176 3112872 3501981 4002264 4150496 4669308 5336352 6225744 7003962 8004528 9338616 12451488 14007924 16009056 18677232 28015848 37354464 56031696 112063392