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13360 = 245167
BaseRepresentation
bin11010000110000
3200022211
43100300
5411420
6141504
753644
oct32060
920284
1013360
11a046
127894
136109
144c24
153e5a
hex3430

13360 has 20 divisors (see below), whose sum is σ = 31248. Its totient is φ = 5312.

The previous prime is 13339. The next prime is 13367. The reversal of 13360 is 6331.

Adding to 13360 its reverse (6331), we get a palindrome (19691).

It can be divided in two parts, 13 and 360, that added together give a palindrome (373).

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 13360.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 163.

213360 is an apocalyptic number.

13360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

13360 is an abundant number, since it is smaller than the sum of its proper divisors (17888).

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

13360 is a wasteful number, since it uses less digits than its factorization.

13360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13360 is about 115.5854662144. The cubic root of 13360 is about 23.7284199174.

The spelling of 13360 in words is "thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360