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12136 = 233741
BaseRepresentation
bin10111101101000
3121122111
42331220
5342021
6132104
750245
oct27550
917574
1012136
119133
127034
1356a7
1445cc
1538e1
hex2f68

12136 has 16 divisors (see below), whose sum is σ = 23940. Its totient is φ = 5760.

The previous prime is 12119. The next prime is 12143. The reversal of 12136 is 63121.

It can be written as a sum of positive squares in 2 ways, for example, as 12100 + 36 = 110^2 + 6^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

12136 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 3 ways as a sum of consecutive naturals, for example, 276 + ... + 316.

212136 is an apocalyptic number.

It is an amenable number.

12136 is a deficient number, since it is larger than the sum of its proper divisors (11804).

12136 is a wasteful number, since it uses less digits than its factorization.

12136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 12136 is about 110.1635148314. The cubic root of 12136 is about 22.9804496753.

Subtracting from 12136 its product of digits (36), we obtain a square (12100 = 1102).

Adding to 12136 its reverse (63121), we get a palindrome (75257).

It can be divided in two parts, 121 and 36, that multiplied together give a square (4356 = 662).

The spelling of 12136 in words is "twelve thousand, one hundred thirty-six".

Divisors: 1 2 4 8 37 41 74 82 148 164 296 328 1517 3034 6068 12136