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14530656 = 253723089
BaseRepresentation
bin110111011011…
…100001100000
31000100020022110
4313123201200
512204440111
61235235320
7234336300
oct67334140
930306273
1014530656
118225108
124a48b40
133019b2a
141d03600
1514205a6
hexddb860

14530656 has 72 divisors (see below), whose sum is σ = 44384760. Its totient is φ = 4150272.

The previous prime is 14530583. The next prime is 14530657. The reversal of 14530656 is 65603541.

14530656 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 a super-2 number, since 2×145306562 = 422279927580672, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3160 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (616455).

Almost surely, 214530656 is an apocalyptic number.

14530656 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 14530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192380).

14530656 is an abundant number, since it is smaller than the sum of its proper divisors (29854104).

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

14530656 is a wasteful number, since it uses less digits than its factorization.

14530656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 14530656 is about 3811.9097575887. The cubic root of 14530656 is about 244.0216768344.

The spelling of 14530656 in words is "fourteen million, five hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3089 4704 6178 9267 12356 18534 21623 24712 37068 43246 49424 64869 74136 86492 98848 129738 148272 151361 172984 259476 296544 302722 345968 454083 518952 605444 691936 908166 1037904 1210888 1816332 2075808 2421776 3632664 4843552 7265328 14530656