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13052260 = 22513172953
BaseRepresentation
bin110001110010…
…100101100100
3220120010100001
4301302211210
511320133020
61143431044
7215641144
oct61624544
926503301
1013052260
1174053a1
124455484
13291cc40
141a3a924
15122c50a
hexc72964

13052260 has 48 divisors (see below), whose sum is σ = 31265136. Its totient is φ = 4534272.

The previous prime is 13052191. The next prime is 13052261. The reversal of 13052260 is 6225031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 13017664 = 186^2 + 3608^2 .

It is a super-2 number, since 2×130522602 = 340722982215200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13052261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944 + ... + 5896.

It is an arithmetic number, because the mean of its divisors is an integer number (651357).

Almost surely, 213052260 is an apocalyptic number.

13052260 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 13052260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632568).

13052260 is an abundant number, since it is smaller than the sum of its proper divisors (18212876).

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

13052260 is a wasteful number, since it uses less digits than its factorization.

13052260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13052260 is about 3612.7911647368. The cubic root of 13052260 is about 235.4481263550.

Adding to 13052260 its reverse (6225031), we get a palindrome (19277291).

The spelling of 13052260 in words is "thirteen million, fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2953 4420 5906 11812 14765 29530 38389 50201 59060 76778 100402 153556 191945 200804 251005 383890 502010 652613 767780 1004020 1305226 2610452 3263065 6526130 13052260