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13727363 = 132431889
BaseRepresentation
bin110100010111…
…011010000011
3221211102101212
4310113122003
512003233423
61210120335
7224452316
oct64273203
927742355
1013727363
117826631
1247200ab
132ac8300
141b7497d
151312578
hexd17683

13727363 has 12 divisors (see below), whose sum is σ = 15218280. Its totient is φ = 12370176.

The previous prime is 13727341. The next prime is 13727369. The reversal of 13727363 is 36372731.

13727363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13727363 - 26 = 13727299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13727369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6323 + ... + 8211.

It is an arithmetic number, because the mean of its divisors is an integer number (1268190).

Almost surely, 213727363 is an apocalyptic number.

13727363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13727363 is a deficient number, since it is larger than the sum of its proper divisors (1490917).

13727363 is a wasteful number, since it uses less digits than its factorization.

13727363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1945 counting only the distinct ones).

The product of its digits is 15876, while the sum is 32.

The square root of 13727363 is about 3705.0456137543. The cubic root of 13727363 is about 239.4394498860.

The spelling of 13727363 in words is "thirteen million, seven hundred twenty-seven thousand, three hundred sixty-three".

Divisors: 1 13 43 169 559 1889 7267 24557 81227 319241 1055951 13727363