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64040 = 2351601
BaseRepresentation
bin1111101000101000
310020211212
433220220
54022130
61212252
7354464
oct175050
9106755
1064040
1144129
1231088
13231c2
14194a4
1513e95
hexfa28

64040 has 16 divisors (see below), whose sum is σ = 144180. Its totient is φ = 25600.

The previous prime is 64037. The next prime is 64063. The reversal of 64040 is 4046.

It is a happy number.

64040 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 58564 + 5476 = 242^2 + 74^2 .

It is a super-2 number, since 2×640402 = 8202243200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 761 + ... + 840.

264040 is an apocalyptic number.

It is an amenable number.

64040 is an abundant number, since it is smaller than the sum of its proper divisors (80140).

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 (72090).

64040 is a wasteful number, since it uses less digits than its factorization.

64040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 64040 is about 253.0612574062. The cubic root of 64040 is about 40.0083315978.

Adding to 64040 its reverse (4046), we get a palindrome (68086).

It can be divided in two parts, 640 and 40, that multiplied together give a square (25600 = 1602).

The spelling of 64040 in words is "sixty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 32020 64040