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640773072 = 24339371583
BaseRepresentation
bin100110001100010…
…110101111010000
31122122201122102000
4212030112233100
52303014214242
6143325554000
721610324032
oct4614265720
91578648360
10640773072
112a9777325
1215a715900
13a29a3284
146115bc52
153b3c3a4c
hex26316bd0

640773072 has 80 divisors (see below), whose sum is σ = 1842382080. Its totient is φ = 213228288.

The previous prime is 640773071. The next prime is 640773139. The reversal of 640773072 is 270377046.

640773072 is a `hidden beast` number, since 640 + 7 + 7 + 3 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640773071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403993 + ... + 405575.

It is an arithmetic number, because the mean of its divisors is an integer number (23029776).

Almost surely, 2640773072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640773072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921191040).

640773072 is an abundant number, since it is smaller than the sum of its proper divisors (1201609008).

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

640773072 is a wasteful number, since it uses less digits than its factorization.

640773072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 640773072 is about 25313.4958470773. The cubic root of 640773072 is about 862.1207224651.

The spelling of 640773072 in words is "six hundred forty million, seven hundred seventy-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 937 1583 1874 2811 3166 3748 4749 5622 6332 7496 8433 9498 11244 12664 14247 14992 16866 18996 22488 25299 25328 28494 33732 37992 42741 44976 50598 56988 67464 75984 85482 101196 113976 134928 170964 202392 227952 341928 404784 683856 1483271 2966542 4449813 5933084 8899626 11866168 13349439 17799252 23732336 26698878 35598504 40048317 53397756 71197008 80096634 106795512 160193268 213591024 320386536 640773072