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680685759 = 321323252949
BaseRepresentation
bin101000100100100…
…111000010111111
31202102211102022200
4220210213002333
52343223421014
6151313242543
722603506405
oct5044470277
91672742280
10680685759
1131a258316
1216bb63453
13ab039150
146658b475
153eb59a09
hex289270bf

680685759 has 24 divisors (see below), whose sum is σ = 1104885600. Its totient is φ = 400669632.

The previous prime is 680685757. The next prime is 680685769. The reversal of 680685759 is 957586086.

680685759 is a `hidden beast` number, since 6 + 8 + 0 + 68 + 575 + 9 = 666.

680685759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 680685759 - 21 = 680685757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680685751) 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, 123784 + ... + 129165.

It is an arithmetic number, because the mean of its divisors is an integer number (46036900).

Almost surely, 2680685759 is an apocalyptic number.

680685759 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

680685759 is a deficient number, since it is larger than the sum of its proper divisors (424199841).

680685759 is a wasteful number, since it uses less digits than its factorization.

680685759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252991 (or 252988 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 680685759 is about 26089.9551360289. The cubic root of 680685759 is about 879.6614395806.

The spelling of 680685759 in words is "six hundred eighty million, six hundred eighty-five thousand, seven hundred fifty-nine".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 252949 758847 2276541 3288337 5817827 9865011 17453481 29595033 52360443 75631751 226895253 680685759