Search a number
-
+
36085021 = 72736429
BaseRepresentation
bin1000100110100…
…1110100011101
32111220022100021
42021221310131
533214210041
63325232141
7615501100
oct211516435
974808307
1036085021
1119407235
1210102651
1376258ab
144b14737
15327bcd1
hex2269d1d

36085021 has 6 divisors (see below), whose sum is σ = 41976510. Its totient is φ = 30929976.

The previous prime is 36085013. The next prime is 36085031. The reversal of 36085021 is 12058063.

It is a happy number.

36085021 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 only one way, i.e., 34164025 + 1920996 = 5845^2 + 1386^2 .

It is not a de Polignac number, because 36085021 - 23 = 36085013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36085031) 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 5 ways as a sum of consecutive naturals, for example, 368166 + ... + 368263.

It is an arithmetic number, because the mean of its divisors is an integer number (6996085).

Almost surely, 236085021 is an apocalyptic number.

It is an amenable number.

36085021 is a deficient number, since it is larger than the sum of its proper divisors (5891489).

36085021 is an equidigital number, since it uses as much as digits as its factorization.

36085021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736443 (or 736436 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 36085021 is about 6007.0809050653. The cubic root of 36085021 is about 330.4524586341.

The spelling of 36085021 in words is "thirty-six million, eighty-five thousand, twenty-one".

Divisors: 1 7 49 736429 5155003 36085021