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15889 is a prime number
BaseRepresentation
bin11111000010001
3210210111
43320101
51002024
6201321
764216
oct37021
923714
1015889
1110a35
129241
137303
145b0d
154a94
hex3e11

15889 has 2 divisors, whose sum is σ = 15890. Its totient is φ = 15888.

The previous prime is 15887. The next prime is 15901. The reversal of 15889 is 98851.

Adding to 15889 its product of digits (2880), we get a square (18769 = 1372).

15889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 4225 = 108^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 15889 - 21 = 15887 is a prime.

Together with 15887, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 15889.

It is not a weakly prime, because it can be changed into another prime (15881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7944 + 7945.

It is an arithmetic number, because the mean of its divisors is an integer number (7945).

215889 is an apocalyptic number.

It is an amenable number.

15889 is a deficient number, since it is larger than the sum of its proper divisors (1).

15889 is an equidigital number, since it uses as much as digits as its factorization.

15889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 31.

The square root of 15889 is about 126.0515767454. The cubic root of 15889 is about 25.1400143751.

The spelling of 15889 in words is "fifteen thousand, eight hundred eighty-nine".