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BaseRepresentation
bin11000101011100
3122100000
43011130
5401021
6134300
751561
oct30534
918300
1012636
119548
127390
1359a0
144868
153b26
hex315c

12636 has 36 divisors (see below), whose sum is σ = 35672. Its totient is φ = 3888.

The previous prime is 12619. The next prime is 12637. The reversal of 12636 is 63621.

It is a happy number.

12636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (216) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12637) by changing a digit.

12636 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 11 ways as a sum of consecutive naturals, for example, 966 + ... + 978.

212636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836).

12636 is an abundant number, since it is smaller than the sum of its proper divisors (23036).

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

12636 is a wasteful number, since it uses less digits than its factorization.

12636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 18 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 12636 is about 112.4099639712. The cubic root of 12636 is about 23.2918082300.

The spelling of 12636 in words is "twelve thousand, six hundred thirty-six".