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10029589 is a prime number
BaseRepresentation
bin100110010000…
…101000010101
3200212120000021
4212100220111
510031421324
6554545141
7151151533
oct46205025
920776007
1010029589
115730419
1234381b1
13210218b
141491153
15d31ae4
hex990a15

10029589 has 2 divisors, whose sum is σ = 10029590. Its totient is φ = 10029588.

The previous prime is 10029577. The next prime is 10029611. The reversal of 10029589 is 98592001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8910225 + 1119364 = 2985^2 + 1058^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10029589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014794 + 5014795.

It is an arithmetic number, because the mean of its divisors is an integer number (5014795).

Almost surely, 210029589 is an apocalyptic number.

It is an amenable number.

10029589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029589 is an equidigital number, since it uses as much as digits as its factorization.

10029589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 10029589 is about 3166.9526362104. The cubic root of 10029589 is about 215.6557516597.

The spelling of 10029589 in words is "ten million, twenty-nine thousand, five hundred eighty-nine".