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12618 = 232701
BaseRepresentation
bin11000101001010
3122022100
43011022
5400433
6134230
751534
oct30512
918270
1012618
119531
127376
135988
144854
153b13
hex314a

12618 has 12 divisors (see below), whose sum is σ = 27378. Its totient is φ = 4200.

The previous prime is 12613. The next prime is 12619. The reversal of 12618 is 81621.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 3969 = 93^2 + 63^2 .

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: 701 = 12618 / (1 + 2 + 6 + 1 + 8).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12618.

It is not an unprimeable number, because it can be changed into a prime (12611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333 + ... + 368.

212618 is an apocalyptic number.

12618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12618 is an abundant number, since it is smaller than the sum of its proper divisors (14760).

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

12618 is a wasteful number, since it uses less digits than its factorization.

12618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 706 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12618 is about 112.3298713611. The cubic root of 12618 is about 23.2807432363.

It can be divided in two parts, 126 and 18, that added together give a square (144 = 122).

The spelling of 12618 in words is "twelve thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 701 1402 2103 4206 6309 12618