Search a number
12942 = 232719
BaseRepresentation
bin11001010001110
3122202100
43022032
5403232
6135530
752506
oct31216
918670
1012942
1197a6
1275a6
135b77
144a06
153c7c
hex328e

12942 has 12 divisors (see below), whose sum is σ = 28080. Its totient is φ = 4308.

The previous prime is 12941. The next prime is 12953. The reversal of 12942 is 24921.

12942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 719 = 12942 / (1 + 2 + 9 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 342 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

212942 is an apocalyptic number.

12942 is an abundant number, since it is smaller than the sum of its proper divisors (15138).

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

12942 is a wasteful number, since it uses less digits than its factorization.

12942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 724 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12942 is about 113.7629113552. The cubic root of 12942 is about 23.4783261762.

It can be divided in two parts, 1294 and 2, that added together give a 4-th power (1296 = 64).

The spelling of 12942 in words is "twelve thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 719 1438 2157 4314 6471 12942