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640728064 = 2104713313
BaseRepresentation
bin100110001100001…
…011110000000000
31122122122100200001
4212030023300000
52303011244224
6143325005344
721610045564
oct4614136000
91578570601
10640728064
112a9746529
1215a6b3854
13a2988942
14611496a4
153b3b5544
hex2630bc00

640728064 has 44 divisors (see below), whose sum is σ = 1308180384. Its totient is φ = 313524224.

The previous prime is 640728047. The next prime is 640728071. The reversal of 640728064 is 460827046.

It is a congruent number.

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, 41472 + ... + 54784.

Almost surely, 2640728064 is an apocalyptic number.

640728064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654090192).

640728064 is an abundant number, since it is smaller than the sum of its proper divisors (667452320).

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

640728064 is a wasteful number, since it uses less digits than its factorization.

640728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13380 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 640728064 is about 25312.6068195277. The cubic root of 640728064 is about 862.1005368281.

The spelling of 640728064 in words is "six hundred forty million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 3008 6016 12032 13313 24064 26626 48128 53252 106504 213008 426016 625711 852032 1251422 1704064 2502844 3408128 5005688 6816256 10011376 13632512 20022752 40045504 80091008 160182016 320364032 640728064