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13136565 = 35132329101
BaseRepresentation
bin110010000111…
…001010110101
3220201101222110
4302013022311
511330332230
61145321233
7216442011
oct62071265
926641873
1013136565
117462772
124496219
13294c420
141a5d541
1512474b0
hexc872b5

13136565 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 5913600.

The previous prime is 13136561. The next prime is 13136567. The reversal of 13136565 is 56563131.

13136565 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13136565 - 22 = 13136561 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130015 + ... + 130115.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 213136565 is an apocalyptic number.

13136565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13136565 is a deficient number, since it is larger than the sum of its proper divisors (11539275).

13136565 is a wasteful number, since it uses less digits than its factorization.

13136565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 8100, while the sum is 30.

The square root of 13136565 is about 3624.4399567381. The cubic root of 13136565 is about 235.9539613823.

Adding to 13136565 its reverse (56563131), we get a palindrome (69699696).

The spelling of 13136565 in words is "thirteen million, one hundred thirty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 23 29 39 65 69 87 101 115 145 195 299 303 345 377 435 505 667 897 1131 1313 1495 1515 1885 2001 2323 2929 3335 3939 4485 5655 6565 6969 8671 8787 10005 11615 14645 19695 26013 30199 34845 38077 43355 43935 67367 90597 114231 130065 150995 190385 202101 336835 452985 571155 875771 1010505 2627313 4378855 13136565