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14076816 = 24313171327
BaseRepresentation
bin110101101100…
…101110010000
3222111011202120
4311230232100
512100424231
61221414240
7230436165
oct65545620
928434676
1014076816
117a45136
12486a380
132bbb3a0
141c2606c
151380d96
hexd6cb90

14076816 has 80 divisors (see below), whose sum is σ = 41497344. Its totient is φ = 4073472.

The previous prime is 14076757. The next prime is 14076857. The reversal of 14076816 is 61867041.

It is a happy number.

14076816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 9945 + ... + 11271.

Almost surely, 214076816 is an apocalyptic number.

14076816 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 14076816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748672).

14076816 is an abundant number, since it is smaller than the sum of its proper divisors (27420528).

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

14076816 is a wasteful number, since it uses less digits than its factorization.

14076816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14076816 is about 3751.9083144448. The cubic root of 14076816 is about 241.4542262007.

The spelling of 14076816 in words is "fourteen million, seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1327 1768 2652 2654 3536 3981 5304 5308 7962 10608 10616 15924 17251 21232 22559 31848 34502 45118 51753 63696 67677 69004 90236 103506 135354 138008 180472 207012 270708 276016 293267 360944 414024 541416 586534 828048 879801 1082832 1173068 1759602 2346136 3519204 4692272 7038408 14076816