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13668 = 2231767
BaseRepresentation
bin11010101100100
3200202020
43111210
5414133
6143140
754564
oct32544
920666
1013668
11a2a6
127ab0
1362b5
144da4
1540b3
hex3564

13668 has 24 divisors (see below), whose sum is σ = 34272. Its totient is φ = 4224.

The previous prime is 13649. The next prime is 13669. The reversal of 13668 is 86631.

13668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (13669) by changing a digit.

13668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 171 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (1428).

213668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136).

13668 is an abundant number, since it is smaller than the sum of its proper divisors (20604).

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

13668 is a wasteful number, since it uses less digits than its factorization.

13668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13668 is about 116.9102219654. The cubic root of 13668 is about 23.9093804906.

The spelling of 13668 in words is "thirteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 13668