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14112864 = 253249003
BaseRepresentation
bin110101110101…
…100001100000
3222120000012200
4311311201200
512103102424
61222253200
7230646243
oct65654140
928500180
1014112864
117a6a227
124887200
132c0190c
141c3525a
15138b8c9
hexd75860

14112864 has 36 divisors (see below), whose sum is σ = 40134276. Its totient is φ = 4704192.

The previous prime is 14112853. The next prime is 14112911. The reversal of 14112864 is 46821141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 24214 + ... + 24789.

It is an arithmetic number, because the mean of its divisors is an integer number (1114841).

Almost surely, 214112864 is an apocalyptic number.

It is an amenable number.

14112864 is an abundant number, since it is smaller than the sum of its proper divisors (26021412).

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

14112864 is a wasteful number, since it uses less digits than its factorization.

14112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49019 (or 49008 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14112864 is about 3756.7091982212. The cubic root of 14112864 is about 241.6601563578.

Subtracting from 14112864 its product of digits (1536), we obtain a triangular number (14111328 = T5312).

The spelling of 14112864 in words is "fourteen million, one hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49003 98006 147009 196012 294018 392024 441027 588036 784048 882054 1176072 1568096 1764108 2352144 3528216 4704288 7056432 14112864