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13696 = 27107
BaseRepresentation
bin11010110000000
3200210021
43112000
5414241
6143224
754634
oct32600
920707
1013696
11a321
127b14
136307
144dc4
1540d1
hex3580

13696 has 16 divisors (see below), whose sum is σ = 27540. Its totient is φ = 6784.

The previous prime is 13693. The next prime is 13697. The reversal of 13696 is 69631.

It is a tau number, because it is divible by the number of its divisors (16).

It is a pancake number, because a pancake can be divided into 13696 parts by 165 straight cuts.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 13696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75 + ... + 181.

213696 is an apocalyptic number.

13696 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 13696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770).

13696 is an abundant number, since it is smaller than the sum of its proper divisors (13844).

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

13696 is an equidigital number, since it uses as much as digits as its factorization.

13696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 13696 is about 117.0299107066. The cubic root of 13696 is about 23.9256961189.

The spelling of 13696 in words is "thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696