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14663664 = 2432791289
BaseRepresentation
bin110111111011…
…111111110000
31000120222202200
4313323333300
512223214124
61242143200
7235432131
oct67737760
930528680
1014663664
118306034
124ab1b00
133065532
141d39c88
151449bc9
hexdfbff0

14663664 has 60 divisors (see below), whose sum is σ = 41589600. Its totient is φ = 4822272.

The previous prime is 14663659. The next prime is 14663681. The reversal of 14663664 is 46636641.

14663664 is a `hidden beast` number, since 14 + 6 + 636 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10732 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (693160).

Almost surely, 214663664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794800).

14663664 is an abundant number, since it is smaller than the sum of its proper divisors (26925936).

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

14663664 is a wasteful number, since it uses less digits than its factorization.

14663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 14663664 is about 3829.3163880776. The cubic root of 14663664 is about 244.7639765011.

The spelling of 14663664 in words is "fourteen million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1289 1422 1896 2578 2844 3792 3867 5156 5688 7734 10312 11376 11601 15468 20624 23202 30936 46404 61872 92808 101831 185616 203662 305493 407324 610986 814648 916479 1221972 1629296 1832958 2443944 3665916 4887888 7331832 14663664