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12806641 is a prime number
BaseRepresentation
bin110000110110…
…100111110001
3220002122102001
4300312213301
511234303031
61134254001
7213566101
oct60664761
926078361
1012806641
117257901
124357301
1328651c3
1419b5201
1511ce861
hexc369f1

12806641 has 2 divisors, whose sum is σ = 12806642. Its totient is φ = 12806640.

The previous prime is 12806621. The next prime is 12806657. The reversal of 12806641 is 14660821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7535025 + 5271616 = 2745^2 + 2296^2 .

It is a cyclic number.

It is not a de Polignac number, because 12806641 - 213 = 12798449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12806621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6403320 + 6403321.

It is an arithmetic number, because the mean of its divisors is an integer number (6403321).

Almost surely, 212806641 is an apocalyptic number.

It is an amenable number.

12806641 is a deficient number, since it is larger than the sum of its proper divisors (1).

12806641 is an equidigital number, since it uses as much as digits as its factorization.

12806641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12806641 is about 3578.6367516137. The cubic root of 12806641 is about 233.9618670664.

It can be divided in two parts, 1280 and 6641, that added together give a square (7921 = 892).

The spelling of 12806641 in words is "twelve million, eight hundred six thousand, six hundred forty-one".