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12642593 is a prime number
BaseRepresentation
bin110000001110…
…100100100001
3212210022101012
4300032210201
511214030333
61130550305
7212313605
oct60164441
925708335
1012642593
117155627
124298395
132808632
141971505
15119ae48
hexc0e921

12642593 has 2 divisors, whose sum is σ = 12642594. Its totient is φ = 12642592.

The previous prime is 12642589. The next prime is 12642613. The reversal of 12642593 is 39524621.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12588304 + 54289 = 3548^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 12642593 - 22 = 12642589 is a prime.

It is equal to p827438 and since 12642593 and 827438 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12642503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6321296 + 6321297.

It is an arithmetic number, because the mean of its divisors is an integer number (6321297).

Almost surely, 212642593 is an apocalyptic number.

It is an amenable number.

12642593 is a deficient number, since it is larger than the sum of its proper divisors (1).

12642593 is an equidigital number, since it uses as much as digits as its factorization.

12642593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 12642593 is about 3555.6424173418. The cubic root of 12642593 is about 232.9585846189.

The spelling of 12642593 in words is "twelve million, six hundred forty-two thousand, five hundred ninety-three".