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20586017 is a prime number
BaseRepresentation
bin100111010000…
…1111000100001
31102201212201002
41032201320201
520232223032
62013121345
7336656354
oct116417041
942655632
1020586017
1110690641
126a89255
13435a09a
142a3c29b
151c19862
hex13a1e21

20586017 has 2 divisors, whose sum is σ = 20586018. Its totient is φ = 20586016.

The previous prime is 20585993. The next prime is 20586029. The reversal of 20586017 is 71068502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19219456 + 1366561 = 4384^2 + 1169^2 .

It is a cyclic number.

It is not a de Polignac number, because 20586017 - 224 = 3808801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20586037) 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, 10293008 + 10293009.

It is an arithmetic number, because the mean of its divisors is an integer number (10293009).

Almost surely, 220586017 is an apocalyptic number.

It is an amenable number.

20586017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20586017 is an equidigital number, since it uses as much as digits as its factorization.

20586017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 20586017 is about 4537.1816141742. The cubic root of 20586017 is about 274.0674394887.

The spelling of 20586017 in words is "twenty million, five hundred eighty-six thousand, seventeen".