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13356 = 2232753
BaseRepresentation
bin11010000101100
3200022200
43100230
5411411
6141500
753640
oct32054
920280
1013356
11a042
127890
136105
144c20
153e56
hex342c

13356 has 36 divisors (see below), whose sum is σ = 39312. Its totient is φ = 3744.

The previous prime is 13339. The next prime is 13367. The reversal of 13356 is 65331.

Adding to 13356 its reverse (65331), we get a palindrome (78687).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

213356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

13356 is an abundant number, since it is smaller than the sum of its proper divisors (25956).

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

13356 is a wasteful number, since it uses less digits than its factorization.

13356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 65 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 13356 is about 115.5681617055. The cubic root of 13356 is about 23.7260515752.

The spelling of 13356 in words is "thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356