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10408589 is a prime number
BaseRepresentation
bin100111101101…
…001010001101
3201120210220022
4213231022031
510131033324
61011031525
7154320512
oct47551215
921523808
1010408589
11596a144
12359b5a5
132205839
14154d309
15da905e
hex9ed28d

10408589 has 2 divisors, whose sum is σ = 10408590. Its totient is φ = 10408588.

The previous prime is 10408583. The next prime is 10408649. The reversal of 10408589 is 98580401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9815689 + 592900 = 3133^2 + 770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10408589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10408583) 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, 5204294 + 5204295.

It is an arithmetic number, because the mean of its divisors is an integer number (5204295).

Almost surely, 210408589 is an apocalyptic number.

It is an amenable number.

10408589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10408589 is an equidigital number, since it uses as much as digits as its factorization.

10408589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 10408589 is about 3226.2344924075. The cubic root of 10408589 is about 218.3386496514.

The spelling of 10408589 in words is "ten million, four hundred eight thousand, five hundred eighty-nine".