Search a number
13160 = 235747
BaseRepresentation
bin11001101101000
3200001102
43031220
5410120
6140532
753240
oct31550
920042
1013160
119984
127748
135cb4
144b20
153d75
hex3368

13160 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 4416.

The previous prime is 13159. The next prime is 13163. The reversal of 13160 is 6131.

13160 = T8 + T9 + ... + T42.

13160 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

13160 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13160.

It is not an unprimeable number, because it can be changed into a prime (13163) 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 7 ways as a sum of consecutive naturals, for example, 257 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

213160 is an apocalyptic number.

13160 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 13160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

13160 is an abundant number, since it is smaller than the sum of its proper divisors (21400).

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

13160 is a wasteful number, since it uses less digits than its factorization.

13160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13160 is about 114.7170431976. The cubic root of 13160 is about 23.6094188201.

Adding to 13160 its reverse (6131), we get a palindrome (19291).

It can be divided in two parts, 131 and 60, that added together give a palindrome (191).

The spelling of 13160 in words is "thirteen thousand, one hundred sixty".