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14513664 = 29311859
BaseRepresentation
bin110111010111…
…011000000000
31000022101000010
4313113120000
512203414124
61235024520
7234235614
oct67273000
930271003
1014513664
118213370
124a3b140
133012189
141cdb344
15141a529
hexdd7600

14513664 has 80 divisors (see below), whose sum is σ = 42229440. Its totient is φ = 4392960.

The previous prime is 14513651. The next prime is 14513671. The reversal of 14513664 is 46631541.

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 16467 + ... + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (527868).

Almost surely, 214513664 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 14513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114720).

14513664 is an abundant number, since it is smaller than the sum of its proper divisors (27715776).

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

14513664 is an equidigital number, since it uses as much as digits as its factorization.

14513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 14513664 is about 3809.6803015476. The cubic root of 14513664 is about 243.9265209184.

It can be divided in two parts, 1451 and 3664, that added together give a palindrome (5115).

The spelling of 14513664 in words is "fourteen million, five hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 859 1056 1408 1536 1718 2112 2577 2816 3436 4224 5154 5632 6872 8448 9449 10308 13744 16896 18898 20616 27488 28347 37796 41232 54976 56694 75592 82464 109952 113388 151184 164928 219904 226776 302368 329856 439808 453552 604736 659712 907104 1209472 1319424 1814208 2418944 3628416 4837888 7256832 14513664