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11696 = 241743
BaseRepresentation
bin10110110110000
3121001012
42312300
5333241
6130052
746046
oct26660
917035
1011696
118873
126928
135429
144396
1536eb
hex2db0

11696 has 20 divisors (see below), whose sum is σ = 24552. Its totient is φ = 5376.

The previous prime is 11689. The next prime is 11699. The reversal of 11696 is 69611.

11696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11699) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 251 + ... + 293.

211696 is an apocalyptic number.

11696 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 11696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276).

11696 is an abundant number, since it is smaller than the sum of its proper divisors (12856).

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

11696 is a wasteful number, since it uses less digits than its factorization.

11696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 11696 is about 108.1480466768. The cubic root of 11696 is about 22.6992994020.

It can be divided in two parts, 116 and 96, that added together give a palindrome (212).

The spelling of 11696 in words is "eleven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 11696