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12606 = 2311191
BaseRepresentation
bin11000100111110
3122021220
43010332
5400411
6134210
751516
oct30476
918256
1012606
119520
127366
135979
144846
153b06
hex313e

12606 has 16 divisors (see below), whose sum is σ = 27648. Its totient is φ = 3800.

The previous prime is 12601. The next prime is 12611. The reversal of 12606 is 60621.

Adding to 12606 its sum of digits (15), we get a palindrome (12621).

It is an interprime number because it is at equal distance from previous prime (12601) and next prime (12611).

It is a super-2 number, since 2×126062 = 317822472, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12606.

It is not an unprimeable number, because it can be changed into a prime (12601) 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, 30 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

12606 is an abundant number, since it is smaller than the sum of its proper divisors (15042).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824).

12606 is a wasteful number, since it uses less digits than its factorization.

12606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12606 is about 112.2764445465. The cubic root of 12606 is about 23.2733607264.

The spelling of 12606 in words is "twelve thousand, six hundred six".

Divisors: 1 2 3 6 11 22 33 66 191 382 573 1146 2101 4202 6303 12606