Search a number
-
+
36220761 = 3217236737
BaseRepresentation
bin1000101000101…
…0111101011001
32112011012112200
42022022331121
533233031021
63332200413
7616604613
oct212127531
975135480
1036220761
111949a215
1210169109
137672605
144b4bdb3
1532a7126
hex228af59

36220761 has 12 divisors (see below), whose sum is σ = 55396692. Its totient is φ = 22726656.

The previous prime is 36220733. The next prime is 36220771. The reversal of 36220761 is 16702263.

It is a happy number.

36220761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22382361 + 13838400 = 4731^2 + 3720^2 .

It is not a de Polignac number, because 36220761 - 25 = 36220729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36220711) 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 in 11 ways as a sum of consecutive naturals, for example, 118216 + ... + 118521.

It is an arithmetic number, because the mean of its divisors is an integer number (4616391).

Almost surely, 236220761 is an apocalyptic number.

It is an amenable number.

36220761 is a deficient number, since it is larger than the sum of its proper divisors (19175931).

36220761 is a wasteful number, since it uses less digits than its factorization.

36220761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236760 (or 236757 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36220761 is about 6018.3686327775. The cubic root of 36220761 is about 330.8662913797.

The spelling of 36220761 in words is "thirty-six million, two hundred twenty thousand, seven hundred sixty-one".

Divisors: 1 3 9 17 51 153 236737 710211 2130633 4024529 12073587 36220761