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640584 = 233273141
BaseRepresentation
bin10011100011001001000
31012112201100
42130121020
5130444314
621421400
75305410
oct2343110
91175640
10640584
113a830a
1226a860
13195759
14129640
15c9c09
hex9c648

640584 has 96 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 172800.

The previous prime is 640583. The next prime is 640589. The reversal of 640584 is 485046.

It is a super-2 number, since 2×6405842 = 820695722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15604 + ... + 15644.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2640584 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 640584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

640584 is an abundant number, since it is smaller than the sum of its proper divisors (1456056).

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

640584 is a wasteful number, since it uses less digits than its factorization.

640584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 640584 is about 800.3649167723. The cubic root of 640584 is about 86.2035919211.

The spelling of 640584 in words is "six hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 41 42 56 62 63 72 82 84 93 123 124 126 164 168 186 217 246 248 252 279 287 328 369 372 434 492 504 558 574 651 738 744 861 868 984 1116 1148 1271 1302 1476 1722 1736 1953 2232 2296 2542 2583 2604 2952 3444 3813 3906 5084 5166 5208 6888 7626 7812 8897 10168 10332 11439 15252 15624 17794 20664 22878 26691 30504 35588 45756 53382 71176 80073 91512 106764 160146 213528 320292 640584