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10823389 is a prime number
BaseRepresentation
bin101001010010…
…011011011101
3202100212220021
4221102123131
510232322024
61023552141
7160666033
oct51223335
922325807
1010823389
116122855
12375b651
13231c595
14161a553
15e3bde4
hexa526dd

10823389 has 2 divisors, whose sum is σ = 10823390. Its totient is φ = 10823388.

The previous prime is 10823387. The next prime is 10823419. The reversal of 10823389 is 98332801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7371225 + 3452164 = 2715^2 + 1858^2 .

It is a cyclic number.

It is not a de Polignac number, because 10823389 - 21 = 10823387 is a prime.

Together with 10823387, it forms a pair of twin primes.

It is equal to p715588 and since 10823389 and 715588 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10823383) 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, 5411694 + 5411695.

It is an arithmetic number, because the mean of its divisors is an integer number (5411695).

Almost surely, 210823389 is an apocalyptic number.

It is an amenable number.

10823389 is a deficient number, since it is larger than the sum of its proper divisors (1).

10823389 is an equidigital number, since it uses as much as digits as its factorization.

10823389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10823389 is about 3289.8919435143. The cubic root of 10823389 is about 221.2013411885.

The spelling of 10823389 in words is "ten million, eight hundred twenty-three thousand, three hundred eighty-nine".