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680681118 = 231319716469
BaseRepresentation
bin101000100100100…
…101111010011110
31202102211011221210
4220210211322132
52343223243433
6151313205250
722603460025
oct5044457236
91672734853
10680681118
1131a254887
1216bb60826
13ab036cc0
14665898bc
153eb58463
hex28925e9e

680681118 has 64 divisors (see below), whose sum is σ = 1565222400. Its totient is φ = 195592320.

The previous prime is 680681077. The next prime is 680681153. The reversal of 680681118 is 811186086.

680681118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6806811183 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101988 + ... + 108456.

It is an arithmetic number, because the mean of its divisors is an integer number (24456600).

Almost surely, 2680681118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680681118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782611200).

680681118 is an abundant number, since it is smaller than the sum of its proper divisors (884541282).

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

680681118 is a wasteful number, since it uses less digits than its factorization.

680681118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577.

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 680681118 is about 26089.8661936009. The cubic root of 680681118 is about 879.6594403624.

The spelling of 680681118 in words is "six hundred eighty million, six hundred eighty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 426 494 741 923 1349 1482 1846 2698 2769 4047 5538 6469 8094 12938 17537 19407 35074 38814 52611 84097 105222 122911 168194 245822 252291 368733 459299 504582 737466 918598 1377897 1597843 2755794 3195686 4793529 5970887 8726681 9587058 11941774 17453362 17912661 26180043 35825322 52360086 113446853 226893706 340340559 680681118