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13608721 = 72172312
BaseRepresentation
bin110011111010…
…011100010001
3221121101122201
4303322130101
511440434341
61203403201
7223446400
oct63723421
927541581
1013608721
117755485
124683501
132a862c9
141b43637
1512dc331
hexcfa711

13608721 has 27 divisors (see below), whose sum is σ = 17376507. Its totient is φ = 10624320.

The previous prime is 13608719. The next prime is 13608739. The reversal of 13608721 is 12780631.

The square root of 13608721 is 3689.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10595025 + 3013696 = 3255^2 + 1736^2 .

It is not a de Polignac number, because 13608721 - 21 = 13608719 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13608721.

It is not an unprimeable number, because it can be changed into a prime (13608821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438976 + ... + 439006.

Almost surely, 213608721 is an apocalyptic number.

13608721 is the 3689-th square number.

13608721 is the 1845-th centered octagonal number.

It is an amenable number.

13608721 is a deficient number, since it is larger than the sum of its proper divisors (3767786).

13608721 is an equidigital number, since it uses as much as digits as its factorization.

13608721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 13608721 is about 238.7476488900.

The spelling of 13608721 in words is "thirteen million, six hundred eight thousand, seven hundred twenty-one".

Divisors: 1 7 17 31 49 119 217 289 527 833 961 1519 2023 3689 6727 8959 14161 16337 25823 47089 62713 114359 277729 438991 800513 1944103 13608721