Search a number
-
+
13023893 is a prime number
BaseRepresentation
bin110001101011…
…101010010101
3220111200102102
4301223222111
511313231033
61143051445
7215462351
oct61535225
926450372
1013023893
117396053
124440b85
13291005c
141a30461
151223de8
hexc6ba95

13023893 has 2 divisors, whose sum is σ = 13023894. Its totient is φ = 13023892.

The previous prime is 13023877. The next prime is 13023919. The reversal of 13023893 is 39832031.

13023893 is digitally balanced in base 3, 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., 12909649 + 114244 = 3593^2 + 338^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023893 - 24 = 13023877 is a prime.

It is a Chen prime.

It is equal to p850727 and since 13023893 and 850727 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 (13023793) 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, 6511946 + 6511947.

It is an arithmetic number, because the mean of its divisors is an integer number (6511947).

Almost surely, 213023893 is an apocalyptic number.

It is an amenable number.

13023893 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023893 is an equidigital number, since it uses as much as digits as its factorization.

13023893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 13023893 is about 3608.8631173820. The cubic root of 13023893 is about 235.2774330191.

The spelling of 13023893 in words is "thirteen million, twenty-three thousand, eight hundred ninety-three".