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14921376 = 2531741223
BaseRepresentation
bin111000111010…
…111010100000
31001002002021120
4320322322200
512304441001
61251452240
7240554361
oct70727240
931062246
1014921376
118471718
124bb7080
133125922
141da5b68
15149b236
hexe3aea0

14921376 has 96 divisors (see below), whose sum is σ = 42674688. Its totient is φ = 4546560.

The previous prime is 14921363. The next prime is 14921383. The reversal of 14921376 is 67312941.

14921376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66801 + ... + 67023.

It is an arithmetic number, because the mean of its divisors is an integer number (444528).

Almost surely, 214921376 is an apocalyptic number.

14921376 is a gapful number since it is divisible by the number (16) 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 14921376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

14921376 is an abundant number, since it is smaller than the sum of its proper divisors (27753312).

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

14921376 is a wasteful number, since it uses less digits than its factorization.

14921376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 14921376 is about 3862.8196955074. The cubic root of 14921376 is about 246.1895557969.

The spelling of 14921376 in words is "fourteen million, nine hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 223 246 272 328 408 446 492 544 656 669 697 816 892 984 1312 1338 1394 1632 1784 1968 2091 2676 2788 3568 3791 3936 4182 5352 5576 7136 7582 8364 9143 10704 11152 11373 15164 16728 18286 21408 22304 22746 27429 30328 33456 36572 45492 54858 60656 66912 73144 90984 109716 121312 146288 155431 181968 219432 292576 310862 363936 438864 466293 621724 877728 932586 1243448 1865172 2486896 3730344 4973792 7460688 14921376