Search a number
13260 = 22351317
BaseRepresentation
bin11001111001100
3200012010
43033030
5411020
6141220
753442
oct31714
920163
1013260
119a65
127810
136060
144b92
153de0
hex33cc

13260 has 48 divisors (see below), whose sum is σ = 42336. Its totient is φ = 3072.

The previous prime is 13259. The next prime is 13267. The reversal of 13260 is 6231.

It is a Harshad number since it is a multiple of its sum of digits (12).

13260 is an undulating number in base 13.

It is a plaindrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13260.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

213260 is an apocalyptic number.

13260 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 13260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

13260 is an abundant number, since it is smaller than the sum of its proper divisors (29076).

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

13260 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 13260 = (20163)9.

13260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13260 is about 115.1520733639. The cubic root of 13260 is about 23.6690689444.

Adding to 13260 its reverse (6231), we get a palindrome (19491).

The spelling of 13260 in words is "thirteen thousand, two hundred sixty".