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112605056 = 272321663
BaseRepresentation
bin1101011011000…
…11011110000000
321211212221002122
412231203132000
5212311330211
615101303412
72535061424
oct655433600
9254787078
10112605056
1158620933
1231864b68
131a438015
1410d52b84
159d446db
hex6b63780

112605056 has 48 divisors (see below), whose sum is σ = 234648960. Its totient is φ = 53822208.

The previous prime is 112605049. The next prime is 112605071. The reversal of 112605056 is 650506211.

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 5 ways as a sum of consecutive naturals, for example, 66881 + ... + 68543.

It is an arithmetic number, because the mean of its divisors is an integer number (4888520).

Almost surely, 2112605056 is an apocalyptic number.

112605056 is a gapful number since it is divisible by the number (16) 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 112605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117324480).

112605056 is an abundant number, since it is smaller than the sum of its proper divisors (122043904).

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

112605056 is an equidigital number, since it uses as much as digits as its factorization.

112605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 112605056 is about 10611.5529494980. The cubic root of 112605056 is about 482.8949128898.

The spelling of 112605056 in words is "one hundred twelve million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 736 1058 1472 1663 2116 2944 3326 4232 6652 8464 13304 16928 26608 33856 38249 53216 67712 76498 106432 152996 212864 305992 611984 879727 1223968 1759454 2447936 3518908 4895872 7037816 14075632 28151264 56302528 112605056