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13540393 is a prime number
BaseRepresentation
bin110011101001…
…110000101001
3221110220221001
4303221300221
511431243033
61202115001
7223043236
oct63516051
927426831
1013540393
117709109
12464ba61
132a61189
141b2678d
1512c6e7d
hexce9c29

13540393 has 2 divisors, whose sum is σ = 13540394. Its totient is φ = 13540392.

The previous prime is 13540391. The next prime is 13540411. The reversal of 13540393 is 39304531.

13540393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 522729 = 3608^2 + 723^2 .

It is a cyclic number.

It is not a de Polignac number, because 13540393 - 21 = 13540391 is a prime.

Together with 13540391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13540391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6770196 + 6770197.

It is an arithmetic number, because the mean of its divisors is an integer number (6770197).

Almost surely, 213540393 is an apocalyptic number.

It is an amenable number.

13540393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13540393 is an equidigital number, since it uses as much as digits as its factorization.

13540393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 13540393 is about 3679.7272996786. The cubic root of 13540393 is about 238.3474024111.

The spelling of 13540393 in words is "thirteen million, five hundred forty thousand, three hundred ninety-three".