Search a number
-
+
36370993 is a prime number
BaseRepresentation
bin1000101010111…
…1101000110001
32112102211121211
42022233220301
533302332433
63335320121
7621101611
oct212575061
975384554
1036370993
111959207a
1210220041
1376c5ac9
144b8aa41
1532d68cd
hex22afa31

36370993 has 2 divisors, whose sum is σ = 36370994. Its totient is φ = 36370992.

The previous prime is 36370979. The next prime is 36371003. The reversal of 36370993 is 39907363.

36370993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32638369 + 3732624 = 5713^2 + 1932^2 .

It is an emirp because it is prime and its reverse (39907363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36370993 - 213 = 36362801 is a prime.

It is not a weakly prime, because it can be changed into another prime (36370933) 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, 18185496 + 18185497.

It is an arithmetic number, because the mean of its divisors is an integer number (18185497).

Almost surely, 236370993 is an apocalyptic number.

It is an amenable number.

36370993 is a deficient number, since it is larger than the sum of its proper divisors (1).

36370993 is an equidigital number, since it uses as much as digits as its factorization.

36370993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91854, while the sum is 40.

The square root of 36370993 is about 6030.8368407709. The cubic root of 36370993 is about 331.3231025085.

The spelling of 36370993 in words is "thirty-six million, three hundred seventy thousand, nine hundred ninety-three".