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12586393 is a prime number
BaseRepresentation
bin110000000000…
…110110011001
3212200110021201
4300000312121
511210231033
61125434201
7211661011
oct60006631
925613251
1012586393
117117386
12426b961
1327b8b91
141958c41
15118947d
hexc00d99

12586393 has 2 divisors, whose sum is σ = 12586394. Its totient is φ = 12586392.

The previous prime is 12586381. The next prime is 12586397. The reversal of 12586393 is 39368521.

12586393 is digitally balanced in base 3, 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., 12581209 + 5184 = 3547^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 12586393 - 213 = 12578201 is a prime.

It is not a weakly prime, because it can be changed into another prime (12586397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6293196 + 6293197.

It is an arithmetic number, because the mean of its divisors is an integer number (6293197).

Almost surely, 212586393 is an apocalyptic number.

It is an amenable number.

12586393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12586393 is an equidigital number, since it uses as much as digits as its factorization.

12586393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 37.

The square root of 12586393 is about 3547.7306831269. The cubic root of 12586393 is about 232.6128823261.

The spelling of 12586393 in words is "twelve million, five hundred eighty-six thousand, three hundred ninety-three".