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10628017 is a prime number
BaseRepresentation
bin101000100010…
…101110110001
3201222221220021
4220202232301
510210044032
61015443441
7156223321
oct50425661
921887807
1010628017
115aa9a94
123686581
13228168a
1415a9281
15dee097
hexa22bb1

10628017 has 2 divisors, whose sum is σ = 10628018. Its totient is φ = 10628016.

The previous prime is 10628003. The next prime is 10628027. The reversal of 10628017 is 71082601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8767521 + 1860496 = 2961^2 + 1364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10628017 is a prime.

It is a super-2 number, since 2×106280172 = 225909490704578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10627982 and 10628000.

It is not a weakly prime, because it can be changed into another prime (10628027) 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, 5314008 + 5314009.

It is an arithmetic number, because the mean of its divisors is an integer number (5314009).

Almost surely, 210628017 is an apocalyptic number.

It is an amenable number.

10628017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628017 is an equidigital number, since it uses as much as digits as its factorization.

10628017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10628017 is about 3260.0639564278. The cubic root of 10628017 is about 219.8622898507.

The spelling of 10628017 in words is "ten million, six hundred twenty-eight thousand, seventeen".