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680606568 = 233229714591
BaseRepresentation
bin101000100100010…
…011101101101000
31202102200101200200
4220210103231220
52343213402233
6151311432200
722603026465
oct5044235550
91672611620
10680606568
1131a203874
1216bb25660
13ab00c0a5
146656a66c
153eb41313
hex28913b68

680606568 has 96 divisors (see below), whose sum is σ = 1934150400. Its totient is φ = 215913600.

The previous prime is 680606561. The next prime is 680606617. The reversal of 680606568 is 865606086.

680606568 is a `hidden beast` number, since 6 + 80 + 6 + 0 + 6 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (680606561) 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 23 ways as a sum of consecutive naturals, for example, 145953 + ... + 150543.

It is an arithmetic number, because the mean of its divisors is an integer number (20147400).

Almost surely, 2680606568 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 680606568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967075200).

680606568 is an abundant number, since it is smaller than the sum of its proper divisors (1253543832).

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

680606568 is a wasteful number, since it uses less digits than its factorization.

680606568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 680606568 is about 26088.4374388349. The cubic root of 680606568 is about 879.6273249789.

The spelling of 680606568 in words is "six hundred eighty million, six hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 71 72 87 116 142 174 213 232 261 284 348 426 522 568 639 696 852 1044 1278 1704 2059 2088 2556 4118 4591 5112 6177 8236 9182 12354 13773 16472 18364 18531 24708 27546 36728 37062 41319 49416 55092 74124 82638 110184 133139 148248 165276 266278 325961 330552 399417 532556 651922 798834 977883 1065112 1198251 1303844 1597668 1955766 2396502 2607688 2933649 3195336 3911532 4793004 5867298 7823064 9452869 9586008 11734596 18905738 23469192 28358607 37811476 56717214 75622952 85075821 113434428 170151642 226868856 340303284 680606568