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15696 = 2432109
BaseRepresentation
bin11110101010000
3210112100
43311100
51000241
6200400
763522
oct36520
923470
1015696
111087a
129100
1371b5
145a12
1549b6
hex3d50

15696 has 30 divisors (see below), whose sum is σ = 44330. Its totient is φ = 5184.

The previous prime is 15683. The next prime is 15727. The reversal of 15696 is 69651.

It can be divided in two parts, 156 and 96, that added together give a palindrome (252).

15696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 1296 = 120^2 + 36^2 .

It is a nialpdrome in base 4 and base 12.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

15696 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 5 ways as a sum of consecutive naturals, for example, 90 + ... + 198.

215696 is an apocalyptic number.

15696 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 15696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165).

15696 is an abundant number, since it is smaller than the sum of its proper divisors (28634).

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

15696 is a wasteful number, since it uses less digits than its factorization.

15696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 15696 is about 125.2836781069. The cubic root of 15696 is about 25.0378094556.

The spelling of 15696 in words is "fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 15696