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14257056 = 2531123587
BaseRepresentation
bin110110011000…
…101110100000
3222211100000010
4312120232200
512122211211
61225324520
7232116522
oct66305640
928740003
1014257056
1180585a0
124936740
132c52438
141c71a12
1513b94a6
hexd98ba0

14257056 has 96 divisors (see below), whose sum is σ = 42674688. Its totient is φ = 4125440.

The previous prime is 14257031. The next prime is 14257063. The reversal of 14257056 is 65075241.

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

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 15 ways as a sum of consecutive naturals, for example, 23995 + ... + 24581.

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

Almost surely, 214257056 is an apocalyptic number.

14257056 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 14257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

14257056 is an abundant number, since it is smaller than the sum of its proper divisors (28417632).

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

14257056 is a wasteful number, since it uses less digits than its factorization.

14257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 14257056 is about 3775.8516920027. The cubic root of 14257056 is about 242.4803881118.

The spelling of 14257056 in words is "fourteen million, two hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 587 736 759 1012 1056 1104 1174 1518 1761 2024 2208 2348 3036 3522 4048 4696 6072 6457 7044 8096 9392 12144 12914 13501 14088 18784 19371 24288 25828 27002 28176 38742 40503 51656 54004 56352 77484 81006 103312 108008 148511 154968 162012 206624 216016 297022 309936 324024 432032 445533 594044 619872 648048 891066 1188088 1296096 1782132 2376176 3564264 4752352 7128528 14257056