Search a number
-
+
13368 = 233557
BaseRepresentation
bin11010000111000
3200100010
43100320
5411433
6141520
753655
oct32070
920303
1013368
11a053
1278a0
136114
144c2c
153e63
hex3438

13368 has 16 divisors (see below), whose sum is σ = 33480. Its totient is φ = 4448.

The previous prime is 13367. The next prime is 13381. The reversal of 13368 is 86331.

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255 + ... + 302.

213368 is an apocalyptic number.

It is an amenable number.

13368 is an abundant number, since it is smaller than the sum of its proper divisors (20112).

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 (16740).

13368 is a wasteful number, since it uses less digits than its factorization.

13368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 13368 is about 115.6200674624. The cubic root of 13368 is about 23.7331551839.

Adding to 13368 its reverse (86331), we get a palindrome (99699).

The spelling of 13368 in words is "thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 557 1114 1671 2228 3342 4456 6684 13368