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11716 = 2229101
BaseRepresentation
bin10110111000100
3121001221
42313010
5333331
6130124
746105
oct26704
917057
1011716
118891
126944
135443
1443ac
153711
hex2dc4

11716 has 12 divisors (see below), whose sum is σ = 21420. Its totient is φ = 5600.

The previous prime is 11701. The next prime is 11717. The reversal of 11716 is 61711.

11716 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 2 ways, for example, as 9216 + 2500 = 96^2 + 50^2 .

It is a nialpdrome in base 5 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) by changing a digit.

11716 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 3 ways as a sum of consecutive naturals, for example, 66 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (1785).

It is an amenable number.

11716 is a deficient number, since it is larger than the sum of its proper divisors (9704).

11716 is a wasteful number, since it uses less digits than its factorization.

11716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 42, while the sum is 16.

The square root of 11716 is about 108.2404730219. The cubic root of 11716 is about 22.7122305313.

It can be divided in two parts, 11 and 716, that added together give a palindrome (727).

The spelling of 11716 in words is "eleven thousand, seven hundred sixteen".

Divisors: 1 2 4 29 58 101 116 202 404 2929 5858 11716