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64036 = 2272287
BaseRepresentation
bin1111101000100100
310020211201
433220210
54022121
61212244
7354460
oct175044
9106751
1064036
1144125
1231084
13231bb
14194a0
1513e91
hexfa24

64036 has 12 divisors (see below), whose sum is σ = 128128. Its totient is φ = 27432.

The previous prime is 64033. The next prime is 64037. The reversal of 64036 is 63046.

It is a happy number.

64036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

64036 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (64033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1116 + ... + 1171.

64036 is a Friedman number, since it can be written as 40^3+6*6, using all its digits and the basic arithmetic operations.

264036 is an apocalyptic number.

It is an amenable number.

64036 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064).

64036 is a wasteful number, since it uses less digits than its factorization.

64036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 64036 is about 253.0533540580. The cubic root of 64036 is about 40.0074985942.

Subtracting from 64036 its reverse (63046), we obtain a triangular number (990 = T44).

It can be divided in two parts, 640 and 36, that added together give a palindrome (676).

The spelling of 64036 in words is "sixty-four thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 4 7 14 28 2287 4574 9148 16009 32018 64036