Search a number
-
+
36064073 is a prime number
BaseRepresentation
bin1000100110010…
…0101101001001
32111212020121102
42021210231021
533213022243
63324551145
7615353033
oct211445511
974766542
1036064073
11193a2521
12100b24b5
1376191b6
144b0ac53
1532759b8
hex2264b49

36064073 has 2 divisors, whose sum is σ = 36064074. Its totient is φ = 36064072.

The previous prime is 36064043. The next prime is 36064097. The reversal of 36064073 is 37046063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19114384 + 16949689 = 4372^2 + 4117^2 .

It is an emirp because it is prime and its reverse (37046063) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36064073 is a prime.

It is a super-2 number, since 2×360640732 = 2601234722698658, which contains 22 as substring.

It is equal to p2207954 and since 36064073 and 2207954 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (36064003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18032036 + 18032037.

It is an arithmetic number, because the mean of its divisors is an integer number (18032037).

Almost surely, 236064073 is an apocalyptic number.

It is an amenable number.

36064073 is a deficient number, since it is larger than the sum of its proper divisors (1).

36064073 is an equidigital number, since it uses as much as digits as its factorization.

36064073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 36064073 is about 6005.3370429977. The cubic root of 36064073 is about 330.3885017358.

The spelling of 36064073 in words is "thirty-six million, sixty-four thousand, seventy-three".