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14685664 = 257531237
BaseRepresentation
bin111000000001…
…010111100000
31000122002221111
4320001113200
512224420124
61242433104
7235553230
oct70012740
930562844
1014685664
118320614
124b02794
133072556
141d43cc0
151451494
hexe015e0

14685664 has 48 divisors (see below), whose sum is σ = 33693408. Its totient is φ = 6170112.

The previous prime is 14685607. The next prime is 14685673. The reversal of 14685664 is 46658641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11254 + ... + 12490.

It is an arithmetic number, because the mean of its divisors is an integer number (701946).

Almost surely, 214685664 is an apocalyptic number.

14685664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846704).

14685664 is an abundant number, since it is smaller than the sum of its proper divisors (19007744).

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

14685664 is a wasteful number, since it uses less digits than its factorization.

14685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 14685664 is about 3832.1878868344. The cubic root of 14685664 is about 244.8863223843.

The spelling of 14685664 in words is "fourteen million, six hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1237 1484 1696 2474 2968 4948 5936 8659 9896 11872 17318 19792 34636 39584 65561 69272 131122 138544 262244 277088 458927 524488 917854 1048976 1835708 2097952 3671416 7342832 14685664