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14685056 = 27472441
BaseRepresentation
bin111000000001…
…001110000000
31000122002002222
4320001032000
512224410211
61242430212
7235551401
oct70011600
930562088
1014685056
118320111
124b02368
1330721a9
141d439a8
1514511db
hexe01380

14685056 has 32 divisors (see below), whose sum is σ = 29890080. Its totient is φ = 7183360.

The previous prime is 14685053. The next prime is 14685061. The reversal of 14685056 is 65058641.

It is a happy number.

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 (14685053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4796 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (934065).

Almost surely, 214685056 is an apocalyptic number.

14685056 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 14685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945040).

14685056 is an abundant number, since it is smaller than the sum of its proper divisors (15205024).

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

14685056 is an equidigital number, since it uses as much as digits as its factorization.

14685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 14685056 is about 3832.1085579613. The cubic root of 14685056 is about 244.8829428313.

The spelling of 14685056 in words is "fourteen million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2441 3008 4882 6016 9764 19528 39056 78112 114727 156224 229454 312448 458908 917816 1835632 3671264 7342528 14685056