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13266 = 2321167
BaseRepresentation
bin11001111010010
3200012100
43033102
5411031
6141230
753451
oct31722
920170
1013266
119a70
127816
136066
144b98
153de6
hex33d2

13266 has 24 divisors (see below), whose sum is σ = 31824. Its totient is φ = 3960.

The previous prime is 13259. The next prime is 13267. The reversal of 13266 is 66231.

13266 divided by its sum of digits (18) gives a palindrome (737).

Adding to 13266 its reverse (66231), we get a palindrome (79497).

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13267) by changing a digit.

13266 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (1326).

213266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912).

13266 is an abundant number, since it is smaller than the sum of its proper divisors (18558).

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

13266 is a wasteful number, since it uses less digits than its factorization.

13266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13266 is about 115.1781229227. The cubic root of 13266 is about 23.6726384014.

The spelling of 13266 in words is "thirteen thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6633 13266