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12642 = 237243
BaseRepresentation
bin11000101100010
3122100020
43011202
5401032
6134310
751600
oct30542
918306
1012642
119553
127396
1359a6
144870
153b2c
hex3162

12642 has 24 divisors (see below), whose sum is σ = 30096. Its totient is φ = 3528.

The previous prime is 12641. The next prime is 12647. The reversal of 12642 is 24621.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12642.

It is not an unprimeable number, because it can be changed into a prime (12641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (1254).

212642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048).

12642 is an abundant number, since it is smaller than the sum of its proper divisors (17454).

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

12642 is a wasteful number, since it uses less digits than its factorization.

12642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 12642 is about 112.4366488295. The cubic root of 12642 is about 23.2954942260.

The spelling of 12642 in words is "twelve thousand, six hundred forty-two".