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12036 = 2231759
BaseRepresentation
bin10111100000100
3121111210
42330010
5341121
6131420
750043
oct27404
917453
1012036
119052
126b70
13562b
14455a
153876
hex2f04

12036 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3712.

The previous prime is 12011. The next prime is 12037. The reversal of 12036 is 63021.

Adding to 12036 its reverse (63021), we get a palindrome (75057).

It is a Harshad number since it is a multiple of its sum of digits (12).

12036 is a modest number, since divided by 36 gives 12 as remainder.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12037) by changing a digit.

12036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

212036 is an apocalyptic number.

12036 is the 59-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

12036 is an abundant number, since it is smaller than the sum of its proper divisors (18204).

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

12036 is a wasteful number, since it uses less digits than its factorization.

12036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12036 is about 109.7087052152. The cubic root of 12036 is about 22.9171562797.

The spelling of 12036 in words is "twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 6018 12036