13056 has 36 divisors (see below), whose sum is σ = 36792. Its totient is φ = 4096.

The previous prime is 13049. The next prime is 13063. The reversal of 13056 is 65031.

13056 = 34^{2} + 35^{2} + ... + 42^{2}.

13056 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (13049) and next prime (13063).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

13056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 13056 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 760 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (1022).

2^{13056} is an apocalyptic number.

13056 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 13056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396).

13056 is an abundant number, since it is smaller than the sum of its proper divisors (23736).

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

13056 is an equidigital number, since it uses as much as digits as its factorization.

13056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13056 is about 114.2628548567. The cubic root of 13056 is about 23.5470612675.

Subtracting from 13056 its sum of digits (15), we obtain a triangular number (13041 = T_{161}).

Adding to 13056 its reverse (65031), we get a palindrome (78087).

The spelling of 13056 in words is "thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056

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