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14164864 = 27715809
BaseRepresentation
bin110110000010…
…001110000000
3222122122112121
4312002032000
512111233424
61223334024
7231253660
oct66021600
928578477
1014164864
117aa52aa
1248b1314
132c1c49c
141c4a1a0
15139bee4
hexd82380

14164864 has 32 divisors (see below), whose sum is σ = 32252400. Its totient is φ = 6070272.

The previous prime is 14164853. The next prime is 14164867. The reversal of 14164864 is 46846141.

14164864 = T405 + T406 + ... + T532.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7009 + ... + 8800.

Almost surely, 214164864 is an apocalyptic number.

14164864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14164864 is an abundant number, since it is smaller than the sum of its proper divisors (18087536).

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

14164864 is an equidigital number, since it uses as much as digits as its factorization.

14164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830 (or 15818 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 14164864 is about 3763.6237856619. The cubic root of 14164864 is about 241.9565980949.

The spelling of 14164864 in words is "fourteen million, one hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 15809 31618 63236 110663 126472 221326 252944 442652 505888 885304 1011776 1770608 2023552 3541216 7082432 14164864