680642820
680,642,820 is an even composite number composed of seven prime numbers multiplied together.
680642820 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 680642820:
22 × 32 × 5 × 11 × 13 × 31 × 853
(2 × 2 × 3 × 3 × 5 × 11 × 13 × 31 × 853)See below for interesting mathematical facts about the number 680642820 from the Numbermatics database.
Names of 680642820
- Cardinal: 680642820 can be written as Six hundred eighty million, six hundred forty-two thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 6.8064282 × 108
Factors of 680642820
Divisors of 680642820
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 31 33 36 39 44 45 52 55 60 62 65 66 78 90 93 99 110 117 124 130 132 143 155 156 165 180 186 195 198 220 234 260 279 286 310 330 341 372 390 396 403 429 465 468 495 558 572 585 620 660 682 715 780 806 853 858 930 990 1023 1116 1170 1209 1287 1364 1395 1430 1612 1705 1706 1716 1860 1980 2015 2046 2145 2340 2418 2559 2574 2790 2860 3069 3410 3412 3627 4030 4092 4265 4290 4433 4836 5115 5118 5148 5580 6045 6138 6435 6820 7254 7677 8060 8530 8580 8866 9383 10230 10236 11089 12090 12276 12795 12870 13299 14508 15345 15354 17060 17732 18135 18766 20460 22165 22178 24180 25590 25740 26443 26598 28149 30690 30708 33267 36270 37532 38385 39897 44330 44356 46915 51180 52886 53196 55445 56298 61380 66495 66534 72540 76770 79329 79794 84447 88660 93830 99801 105772 110890 112596 121979 132215 132990 133068 140745 153540 158658 159588 166335 168894 187660 199485 199602 221780 237987 243958 264430 265980 281490 290873 317316 332670 337788 343759 365937 396645 398970 399204 422235 475974 487916 499005 528860 562980 581746 609895 665340 687518 731874 793290 797940 844470 872619 951948 998010 1031277 1097811 1163492 1189935 1219790 1375036 1454365 1463748 1586580 1688940 1718795 1745238 1829685 1996020 2062554 2195622 2379870 2439580 2617857 2908730 3093831 3437590 3490476 3659370 3781349 4125108 4363095 4391244 4759740 5156385 5235714 5489055 5817460 6187662 6875180 7318740 7562698 8726190 10312770 10471428 10978110 11344047 12375324 13089285 15125396 15469155 17452380 18906745 20625540 21956220 22688094 26178570 30938310 34032141 37813490 45376188 52357140 56720235 61876620 68064282 75626980 113440470 136128564 170160705 226880940 340321410 680642820
- Sum of all divisors σ(n): 2506742784
- Sum of proper divisors (its aliquot sum) s(n): 1826099964
- 680642820 is an abundant number, because the sum of its proper divisors (1826099964) is greater than itself. Its abundance is 1145457144
Bases of 680642820
- Binary: 1010001001000111001001000001002
- Hexadecimal: 0x2891C904
- Base-36: B98JD0
Squares and roots of 680642820
- 680642820 squared (6806428202) is 463274648417552400
- 680642820 cubed (6806428203) is 315324563133431403033768000
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The
square root of 680642820 is 26089.1322201411 -
The
cube root of 680642820 is 879.6429422655
Scales and comparisons
How big is 680642820?- 680,642,820 seconds is equal to 21 years, 33 weeks, 2 days, 19 hours, 27 minutes.
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To count from 1 to 680,642,820 would take you about thirty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 680642820 cubic inches would be around 73.3 feet tall.
Recreational maths with 680642820
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