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112995072 = 283249043
BaseRepresentation
bin1101011110000…
…10101100000000
321212121202002200
412233002230000
5212411320242
615113513200
72541304461
oct657025400
9255552080
10112995072
1158867963
1231a12800
131a5436b8
1411014d68
159dc004c
hex6bc2b00

112995072 has 54 divisors (see below), whose sum is σ = 325799292. Its totient is φ = 37664256.

The previous prime is 112995061. The next prime is 112995079. The reversal of 112995072 is 270599211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112995079) 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 5 ways as a sum of consecutive naturals, for example, 22218 + ... + 26825.

Almost surely, 2112995072 is an apocalyptic number.

112995072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112995072 is an abundant number, since it is smaller than the sum of its proper divisors (212804220).

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

112995072 is an equidigital number, since it uses as much as digits as its factorization.

112995072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49065 (or 49048 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 112995072 is about 10629.9140165855. The cubic root of 112995072 is about 483.4517846296.

The spelling of 112995072 in words is "one hundred twelve million, nine hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 49043 98086 147129 196172 294258 392344 441387 588516 784688 882774 1177032 1569376 1765548 2354064 3138752 3531096 4708128 6277504 7062192 9416256 12555008 14124384 18832512 28248768 37665024 56497536 112995072