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14256768 = 273137271
BaseRepresentation
bin110110011000…
…101010000000
3222211022121110
4312120222000
512122204033
61225323320
7232115631
oct66305200
928738543
1014256768
118058359
124936540
132c52276
141c71888
1513b9363
hexd98a80

14256768 has 64 divisors (see below), whose sum is σ = 38286720. Its totient is φ = 4700160.

The previous prime is 14256763. The next prime is 14256797. The reversal of 14256768 is 86765241.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14256763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52473 + ... + 52743.

It is an arithmetic number, because the mean of its divisors is an integer number (598230).

Almost surely, 214256768 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 14256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19143360).

14256768 is an abundant number, since it is smaller than the sum of its proper divisors (24029952).

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

14256768 is a wasteful number, since it uses less digits than its factorization.

14256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 14256768 is about 3775.8135547190. The cubic root of 14256768 is about 242.4787553571.

The spelling of 14256768 in words is "fourteen million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 271 274 384 411 542 548 813 822 1084 1096 1626 1644 2168 2192 3252 3288 4336 4384 6504 6576 8672 8768 13008 13152 17344 17536 26016 26304 34688 37127 52032 52608 74254 104064 111381 148508 222762 297016 445524 594032 891048 1188064 1782096 2376128 3564192 4752256 7128384 14256768