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10206589 is a prime number
BaseRepresentation
bin100110111011…
…110101111101
3201012112210211
4212323311331
510103102324
61002432421
7152516551
oct46736575
921175724
1010206589
1158413a8
123502711
132164903
1414d9861
15d69294
hex9bbd7d

10206589 has 2 divisors, whose sum is σ = 10206590. Its totient is φ = 10206588.

The previous prime is 10206577. The next prime is 10206607. The reversal of 10206589 is 98560201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 284089 = 3150^2 + 533^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206589 - 25 = 10206557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10206589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10206509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103294 + 5103295.

It is an arithmetic number, because the mean of its divisors is an integer number (5103295).

Almost surely, 210206589 is an apocalyptic number.

It is an amenable number.

10206589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206589 is an equidigital number, since it uses as much as digits as its factorization.

10206589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10206589 is about 3194.7752659616. The cubic root of 10206589 is about 216.9169764580.

The spelling of 10206589 in words is "ten million, two hundred six thousand, five hundred eighty-nine".