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112307232 = 2537116477
BaseRepresentation
bin1101011000110…
…10110000100000
321211022210120010
412230122300200
5212222312412
615051044520
72532411222
oct654326040
9254283503
10112307232
11584380a4
1231740740
131a3625ab
1410cb6412
159cd633c
hex6b1ac20

112307232 has 48 divisors (see below), whose sum is σ = 298976832. Its totient is φ = 36906240.

The previous prime is 112307213. The next prime is 112307263. The reversal of 112307232 is 232703211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1123072322 = 25225828719003648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112307199 and 112307208.

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 7 ways as a sum of consecutive naturals, for example, 1423 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (6228684).

Almost surely, 2112307232 is an apocalyptic number.

112307232 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 112307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149488416).

112307232 is an abundant number, since it is smaller than the sum of its proper divisors (186669600).

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

112307232 is a wasteful number, since it uses less digits than its factorization.

112307232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16561 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 112307232 is about 10597.5106510916. The cubic root of 112307232 is about 482.4688080635.

The spelling of 112307232 in words is "one hundred twelve million, three hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16477 32954 49431 65908 98862 131816 197724 263632 395448 527264 790896 1169867 1581792 2339734 3509601 4679468 7019202 9358936 14038404 18717872 28076808 37435744 56153616 112307232