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640735056 = 243313271421
BaseRepresentation
bin100110001100001…
…101011101010000
31122122122201021000
4212030031131100
52303012010211
6143325102000
721610105143
oct4614153520
91578581230
10640735056
112a9750805
1215a6b7900
13a298bb90
146114c05a
153b3b7656
hex2630d750

640735056 has 160 divisors (see below), whose sum is σ = 1992650240. Its totient is φ = 195955200.

The previous prime is 640735021. The next prime is 640735057. The reversal of 640735056 is 650537046.

640735056 is a `hidden beast` number, since 640 + 7 + 3 + 5 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 640735056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640735057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521726 + ... + 1522146.

It is an arithmetic number, because the mean of its divisors is an integer number (12454064).

Almost surely, 2640735056 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 640735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996325120).

640735056 is an abundant number, since it is smaller than the sum of its proper divisors (1351915184).

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

640735056 is a wasteful number, since it uses less digits than its factorization.

640735056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 640735056 is about 25312.7449321483. The cubic root of 640735056 is about 862.1036727320.

The spelling of 640735056 in words is "six hundred forty million, seven hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 271 312 351 421 432 468 542 624 702 813 842 936 1084 1263 1404 1626 1684 1872 2168 2439 2526 2808 3252 3368 3523 3789 4336 4878 5052 5473 5616 6504 6736 7046 7317 7578 9756 10104 10569 10946 11367 13008 14092 14634 15156 16419 19512 20208 21138 21892 22734 28184 29268 30312 31707 32838 39024 42276 43784 45468 49257 56368 58536 60624 63414 65676 84552 87568 90936 95121 98514 114091 117072 126828 131352 147771 169104 181872 190242 197028 228182 253656 262704 295542 342273 380484 394056 456364 507312 591084 684546 760968 788112 912728 1026819 1182168 1369092 1483183 1521936 1825456 2053638 2364336 2738184 2966366 3080457 4107276 4449549 5476368 5932732 6160914 8214552 8899098 11865464 12321828 13348647 16429104 17798196 23730928 24643656 26697294 35596392 40045941 49287312 53394588 71192784 80091882 106789176 160183764 213578352 320367528 640735056