Search a number
-
+
36241065 = 32571031117
BaseRepresentation
bin1000101000111…
…1111010101001
32112012020101200
42022033322221
533234203230
63332434413
7620021040
oct212177251
975166350
1036241065
11195034a3
1210178a09
13767b923
144b55557
1532ad160
hex228fea9

36241065 has 48 divisors (see below), whose sum is σ = 72553728. Its totient is φ = 16391808.

The previous prime is 36241061. The next prime is 36241091. The reversal of 36241065 is 56014263.

It is not a de Polignac number, because 36241065 - 22 = 36241061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36241061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31887 + ... + 33003.

It is an arithmetic number, because the mean of its divisors is an integer number (1511536).

Almost surely, 236241065 is an apocalyptic number.

36241065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36241065 is an abundant number, since it is smaller than the sum of its proper divisors (36312663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36241065 is a wasteful number, since it uses less digits than its factorization.

36241065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36241065 is about 6020.0552323048. The cubic root of 36241065 is about 330.9281035754.

The spelling of 36241065 in words is "thirty-six million, two hundred forty-one thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 315 515 721 927 1117 1545 2163 3351 3605 4635 5585 6489 7819 10053 10815 16755 23457 32445 39095 50265 70371 115051 117285 345153 351855 575255 805357 1035459 1725765 2416071 4026785 5177295 7248213 12080355 36241065