Search a number
-
+
36420929 = 192233433
BaseRepresentation
bin1000101011101…
…1110101000001
32112112101010022
42022323311001
533310432204
63340343225
7621400316
oct212736501
975471108
1036420929
1119616646
1210244b15
13771275c
144ba0d0d
1532e65be
hex22bbd41

36420929 has 12 divisors (see below), whose sum is σ = 38692836. Its totient is φ = 34276608.

The previous prime is 36420841. The next prime is 36420949. The reversal of 36420929 is 92902463.

36420929 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 5640625 + 30780304 = 2375^2 + 5548^2 .

It is not a de Polignac number, because 36420929 - 212 = 36416833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36420949) 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, 83897 + ... + 84329.

It is an arithmetic number, because the mean of its divisors is an integer number (3224403).

Almost surely, 236420929 is an apocalyptic number.

It is an amenable number.

36420929 is a deficient number, since it is larger than the sum of its proper divisors (2271907).

36420929 is a wasteful number, since it uses less digits than its factorization.

36420929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

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

The square root of 36420929 is about 6034.9754763379. The cubic root of 36420929 is about 331.4746645363.

The spelling of 36420929 in words is "thirty-six million, four hundred twenty thousand, nine hundred twenty-nine".

Divisors: 1 19 233 361 433 4427 8227 84113 100889 156313 1916891 36420929