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10805309 is a prime number
BaseRepresentation
bin101001001110…
…000000111101
3202022222002122
4221032000331
510231232214
61023332325
7160562234
oct51160075
922288078
1010805309
116110209
1237510a5
132314298
141613b1b
15e3688e
hexa4e03d

10805309 has 2 divisors, whose sum is σ = 10805310. Its totient is φ = 10805308.

The previous prime is 10805303. The next prime is 10805317. The reversal of 10805309 is 90350801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10745284 + 60025 = 3278^2 + 245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10805309 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10805303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5402654 + 5402655.

It is an arithmetic number, because the mean of its divisors is an integer number (5402655).

Almost surely, 210805309 is an apocalyptic number.

It is an amenable number.

10805309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10805309 is an equidigital number, since it uses as much as digits as its factorization.

10805309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10805309 is about 3287.1429844167. The cubic root of 10805309 is about 221.0781034726.

The spelling of 10805309 in words is "ten million, eight hundred five thousand, three hundred nine".