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13060 = 225653
BaseRepresentation
bin11001100000100
3122220201
43030010
5404220
6140244
753035
oct31404
918821
1013060
1198a3
127684
135c38
144a8c
153d0a
hex3304

13060 has 12 divisors (see below), whose sum is σ = 27468. Its totient is φ = 5216.

The previous prime is 13049. The next prime is 13063. The reversal of 13060 is 6031.

13060 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 9216 = 62^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13063) 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, 307 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (2289).

213060 is an apocalyptic number.

13060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13060 is an abundant number, since it is smaller than the sum of its proper divisors (14408).

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 (13734).

13060 is a wasteful number, since it uses less digits than its factorization.

13060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13060 is about 114.2803570173. The cubic root of 13060 is about 23.5494657464.

Adding to 13060 its reverse (6031), we get a palindrome (19091).

It can be divided in two parts, 130 and 60, that added together give a triangular number (190 = T19).

The spelling of 13060 in words is "thirteen thousand, sixty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 13060