Search a number
-
+
15085937 is a prime number
BaseRepresentation
bin111001100011…
…000101110001
31001101110000102
4321203011301
512330222222
61255202145
7242141216
oct71430561
931343012
1015085937
118574319
125076355
1331827b9
142009b0d
1514ced92
hexe63171

15085937 has 2 divisors, whose sum is σ = 15085938. Its totient is φ = 15085936.

The previous prime is 15085913. The next prime is 15085969. The reversal of 15085937 is 73958051.

15085937 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., 8755681 + 6330256 = 2959^2 + 2516^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15085937 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15085937.

It is not a weakly prime, because it can be changed into another prime (15088937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7542968 + 7542969.

It is an arithmetic number, because the mean of its divisors is an integer number (7542969).

Almost surely, 215085937 is an apocalyptic number.

It is an amenable number.

15085937 is a deficient number, since it is larger than the sum of its proper divisors (1).

15085937 is an equidigital number, since it uses as much as digits as its factorization.

15085937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 15085937 is about 3884.0619202067. The cubic root of 15085937 is about 247.0912861183.

The spelling of 15085937 in words is "fifteen million, eighty-five thousand, nine hundred thirty-seven".