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112076352 = 263379821
BaseRepresentation
bin1101010111000…
…10011001000000
321210220001212000
412223202121000
5212142420402
615042104000
72530430133
oct653423100
9253801760
10112076352
115829a693
123164b000
131a2b148b
1410c5621a
159c8cc1c
hex6ae2640

112076352 has 112 divisors (see below), whose sum is σ = 334060800. Its totient is φ = 36840960.

The previous prime is 112076347. The next prime is 112076353. The reversal of 112076352 is 253670211.

It is a happy number.

112076352 is a `hidden beast` number, since 1 + 1 + 20 + 7 + 635 + 2 = 666.

It is a super-2 number, since 2×1120763522 = 25122217355255808, 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 (112076353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136102 + ... + 136922.

Almost surely, 2112076352 is an apocalyptic number.

112076352 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 112076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167030400).

112076352 is an abundant number, since it is smaller than the sum of its proper divisors (221984448).

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

112076352 is an equidigital number, since it uses as much as digits as its factorization.

112076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112076352 is about 10586.6119226124. The cubic root of 112076352 is about 482.1379631814.

The spelling of 112076352 in words is "one hundred twelve million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 821 864 948 1264 1422 1642 1728 1896 2133 2463 2528 2844 3284 3792 4266 4926 5056 5688 6568 7389 7584 8532 9852 11376 13136 14778 15168 17064 19704 22167 22752 26272 29556 34128 39408 44334 45504 52544 59112 64859 68256 78816 88668 118224 129718 136512 157632 177336 194577 236448 259436 354672 389154 472896 518872 583731 709344 778308 1037744 1167462 1418688 1556616 1751193 2075488 2334924 3113232 3502386 4150976 4669848 6226464 7004772 9339696 12452928 14009544 18679392 28019088 37358784 56038176 112076352