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13688393 is a prime number
BaseRepresentation
bin110100001101…
…111001001001
3221202102221112
4310031321021
512001012033
61205220105
7224230565
oct64157111
927672845
1013688393
1177aa324
124701635
132ab3654
141b646a5
151305c48
hexd0de49

13688393 has 2 divisors, whose sum is σ = 13688394. Its totient is φ = 13688392.

The previous prime is 13688371. The next prime is 13688399. The reversal of 13688393 is 39388631.

13688393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13564489 + 123904 = 3683^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 13688393 - 218 = 13426249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13688393.

It is not a weakly prime, because it can be changed into another prime (13688399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6844196 + 6844197.

It is an arithmetic number, because the mean of its divisors is an integer number (6844197).

Almost surely, 213688393 is an apocalyptic number.

It is an amenable number.

13688393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13688393 is an equidigital number, since it uses as much as digits as its factorization.

13688393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 93312, while the sum is 41.

The square root of 13688393 is about 3699.7828314646. The cubic root of 13688393 is about 239.2126571398.

The spelling of 13688393 in words is "thirteen million, six hundred eighty-eight thousand, three hundred ninety-three".