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112963716 = 22323137881
BaseRepresentation
bin1101011101110…
…11000010000100
321212120011002100
412232323002010
5212404314331
615113112100
72541114165
oct656730204
9255504070
10112963716
1158846348
12319b8630
131a532348
141100776c
159db5ae6
hex6bbb084

112963716 has 18 divisors (see below), whose sum is σ = 285547262. Its totient is φ = 37654560.

The previous prime is 112963699. The next prime is 112963717. The reversal of 112963716 is 617369211.

112963716 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 637 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 40373316 = 8520^2 + 6354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1129637162 = 25521602265057312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3137881 = 112963716 / (1 + 1 + 2 + 9 + 6 + 3 + 7 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (112963717) by changing a digit.

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, 1568905 + ... + 1568976.

Almost surely, 2112963716 is an apocalyptic number.

It is an amenable number.

112963716 is an abundant number, since it is smaller than the sum of its proper divisors (172583546).

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

112963716 is a wasteful number, since it uses less digits than its factorization.

112963716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137891 (or 3137886 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 112963716 is about 10628.4390199126. The cubic root of 112963716 is about 483.4070613913.

The spelling of 112963716 in words is "one hundred twelve million, nine hundred sixty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3137881 6275762 9413643 12551524 18827286 28240929 37654572 56481858 112963716