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112976064 = 2632196139
BaseRepresentation
bin1101011101111…
…10000011000000
321212120210000200
412232332003000
5212410213224
615113245200
72541165165
oct656760300
9255523020
10112976064
1158854653
1231a03800
131a537b56
141100c06c
159db95c9
hex6bbe0c0

112976064 has 42 divisors (see below), whose sum is σ = 323827140. Its totient is φ = 37658496.

The previous prime is 112976047. The next prime is 112976077. The reversal of 112976064 is 460679211.

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

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, 97494 + ... + 98645.

It is an arithmetic number, because the mean of its divisors is an integer number (7710170).

Almost surely, 2112976064 is an apocalyptic number.

It is an amenable number.

112976064 is an abundant number, since it is smaller than the sum of its proper divisors (210851076).

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

112976064 is a wasteful number, since it uses less digits than its factorization.

112976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196157 (or 196144 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 112976064 is about 10629.0198983726. The cubic root of 112976064 is about 483.4246744005.

The spelling of 112976064 in words is "one hundred twelve million, nine hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 196139 392278 588417 784556 1176834 1569112 1765251 2353668 3138224 3530502 4707336 6276448 7061004 9414672 12552896 14122008 18829344 28244016 37658688 56488032 112976064