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14006656 = 27731499
BaseRepresentation
bin110101011011…
…100110000000
3222100121112001
4311123212000
512041203111
61220113344
7230024506
oct65334600
928317461
1014006656
1179a7454
124835854
132b95481
141c08676
15136a1c1
hexd5b980

14006656 has 32 divisors (see below), whose sum is σ = 28305000. Its totient is φ = 6902784.

The previous prime is 14006653. The next prime is 14006669. The reversal of 14006656 is 65660041.

14006656 = T363 + T364 + ... + T508.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006653) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8595 + ... + 10093.

Almost surely, 214006656 is an apocalyptic number.

14006656 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 14006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152500).

14006656 is an abundant number, since it is smaller than the sum of its proper divisors (14298344).

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

14006656 is an equidigital number, since it uses as much as digits as its factorization.

14006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 14006656 is about 3742.5467264952. The cubic root of 14006656 is about 241.0524153826.

Adding to 14006656 its reverse (65660041), we get a palindrome (79666697).

The spelling of 14006656 in words is "fourteen million, six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 1499 2336 2998 4672 5996 9344 11992 23984 47968 95936 109427 191872 218854 437708 875416 1750832 3501664 7003328 14006656