Search a number
13218 = 232203
BaseRepresentation
bin11001110100010
3200010120
43032202
5410333
6141110
753352
oct31642
920116
1013218
119a27
127796
13602a
144b62
153db3
hex33a2

13218 has 8 divisors (see below), whose sum is σ = 26448. Its totient is φ = 4404.

The previous prime is 13217. The next prime is 13219. The reversal of 13218 is 81231.

It is a happy number.

13218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13217) and next prime (13219).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13197 and 13206.

It is not an unprimeable number, because it can be changed into a prime (13217) 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 3 ways as a sum of consecutive naturals, for example, 1096 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (3306).

213218 is an apocalyptic number.

13218 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (13224).

13218 is a wasteful number, since it uses less digits than its factorization.

13218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208.

The product of its digits is 48, while the sum is 15.

The square root of 13218 is about 114.9695611890. The cubic root of 13218 is about 23.6440525460.

Subtracting from 13218 its sum of digits (15), we obtain a triangular number (13203 = T162).

Adding to 13218 its reverse (81231), we get a palindrome (94449).

It can be divided in two parts, 13 and 218, that added together give a triangular number (231 = T21).

The spelling of 13218 in words is "thirteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 2203 4406 6609 13218