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12744 = 233359
BaseRepresentation
bin11000111001000
3122111000
43013020
5401434
6135000
752104
oct30710
918430
1012744
119636
127460
135a54
144904
153b99
hex31c8

12744 has 32 divisors (see below), whose sum is σ = 36000. Its totient is φ = 4176.

The previous prime is 12743. The next prime is 12757. The reversal of 12744 is 44721.

It can be divided in two parts, 127 and 44, that added together give a palindrome (171).

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

212744 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 12744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000).

12744 is an abundant number, since it is smaller than the sum of its proper divisors (23256).

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

12744 is a wasteful number, since it uses less digits than its factorization.

12744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 12744 is about 112.8893263334. The cubic root of 12744 is about 23.3579784952.

The spelling of 12744 in words is "twelve thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744