Search a number
-
+
36129383 is a prime number
BaseRepresentation
bin1000100111010…
…0101001100111
32111222120012022
42021310221213
533222120013
63330213355
7616044323
oct211645147
974876168
1036129383
11194375a4
121012425b
13763cb44
144b26983
15328a008
hex2274a67

36129383 has 2 divisors, whose sum is σ = 36129384. Its totient is φ = 36129382.

The previous prime is 36129367. The next prime is 36129397. The reversal of 36129383 is 38392163.

36129383 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 is a cyclic number.

It is not a de Polignac number, because 36129383 - 24 = 36129367 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36129083) 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, 18064691 + 18064692.

It is an arithmetic number, because the mean of its divisors is an integer number (18064692).

Almost surely, 236129383 is an apocalyptic number.

36129383 is a deficient number, since it is larger than the sum of its proper divisors (1).

36129383 is an equidigital number, since it uses as much as digits as its factorization.

36129383 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 35.

The square root of 36129383 is about 6010.7722465587. The cubic root of 36129383 is about 330.5878197739.

The spelling of 36129383 in words is "thirty-six million, one hundred twenty-nine thousand, three hundred eighty-three".