Search a number
-
+
36960013 is a prime number
BaseRepresentation
bin1000110011111…
…1011100001101
32120112202121101
42030333130031
533430210023
63400103101
7626104066
oct214773415
976482541
1036960013
1119954672
1210464a91
137870c3c
144ca156d
1533a11ad
hex233f70d

36960013 has 2 divisors, whose sum is σ = 36960014. Its totient is φ = 36960012.

The previous prime is 36959999. The next prime is 36960031. The reversal of 36960013 is 31006963.

Together with next prime (36960031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35964009 + 996004 = 5997^2 + 998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36960013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36960043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18480006 + 18480007.

It is an arithmetic number, because the mean of its divisors is an integer number (18480007).

Almost surely, 236960013 is an apocalyptic number.

It is an amenable number.

36960013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36960013 is an equidigital number, since it uses as much as digits as its factorization.

36960013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 36960013 is about 6079.4747305997. The cubic root of 36960013 is about 333.1021008539.

Adding to 36960013 its reverse (31006963), we get a palindrome (67966976).

The spelling of 36960013 in words is "thirty-six million, nine hundred sixty thousand, thirteen".