680228640
680,228,640 is an even composite number composed of seven prime numbers multiplied together.
680228640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 680228640:
25 × 32 × 5 × 7 × 13 × 29 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 29 × 179)See below for interesting mathematical facts about the number 680228640 from the Numbermatics database.
Names of 680228640
- Cardinal: 680228640 can be written as Six hundred eighty million, two hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.8022864 × 108
Factors of 680228640
Divisors of 680228640
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 32 35 36 39 40 42 45 48 52 56 58 60 63 65 70 72 78 80 84 87 90 91 96 104 105 112 116 117 120 126 130 140 144 145 156 160 168 174 179 180 182 195 203 208 210 224 232 234 240 252 260 261 273 280 288 290 312 315 336 348 358 360 364 377 390 406 416 420 435 455 464 468 480 504 520 522 537 546 560 580 585 609 624 630 672 696 716 720 728 754 780 812 819 840 870 895 910 928 936 1008 1015 1040 1044 1074 1092 1120 1131 1160 1170 1218 1248 1253 1260 1305 1365 1392 1432 1440 1456 1508 1560 1611 1624 1638 1680 1740 1790 1820 1827 1872 1885 2016 2030 2080 2088 2148 2184 2262 2320 2327 2340 2436 2506 2520 2610 2639 2685 2730 2784 2864 2912 3016 3045 3120 3222 3248 3276 3360 3393 3480 3580 3640 3654 3744 3759 3770 4060 4095 4176 4296 4368 4524 4640 4654 4680 4872 5012 5040 5191 5220 5278 5370 5460 5655 5728 6032 6090 6240 6265 6444 6496 6552 6786 6960 6981 7160 7280 7308 7518 7540 7917 8055 8120 8190 8352 8592 8736 9048 9135 9308 9360 9744 10024 10080 10382 10440 10556 10740 10920 11277 11310 11635 12064 12180 12530 12888 13104 13195 13572 13920 13962 14320 14560 14616 15036 15080 15573 15834 16110 16240 16289 16380 16965 17184 18096 18270 18616 18720 18795 19488 20048 20764 20880 20943 21112 21480 21840 22554 22620 23270 23751 24360 25060 25776 25955 26208 26390 27144 27924 28640 29232 30072 30160 31146 31668 32220 32480 32578 32760 33930 34905 36192 36337 36540 37232 37590 39585 40096 41528 41760 41886 42224 42960 43680 45108 45240 46540 46719 47502 48720 48867 50120 51552 51910 52780 54288 55848 56385 58464 60144 60320 62292 63336 64440 65156 65520 67483 67860 69810 72674 73080 74464 75180 77865 79170 81445 83056 83772 84448 85920 90216 90480 93080 93438 95004 97440 97734 100240 103820 104715 105560 108576 109011 111696 112770 118755 120288 124584 126672 128880 130312 131040 134966 135720 139620 145348 146160 146601 150360 155730 158340 162890 166112 167544 180432 180960 181685 186160 186876 190008 195468 200480 202449 207640 209430 211120 218022 223392 225540 233595 237510 244335 249168 253344 257760 260624 269932 271440 279240 290696 292320 293202 300720 311460 316680 325780 327033 335088 337415 360864 363370 372320 373752 380016 390936 404898 415280 418860 422240 436044 451080 467190 472381 475020 488670 498336 521248 539864 542880 545055 558480 581392 586404 601440 607347 622920 633360 651560 654066 670176 674830 726740 733005 747504 760032 781872 809796 830560 837720 872088 902160 934380 944762 950040 977340 1012245 1079728 1090110 1116960 1162784 1172808 1214694 1245840 1266720 1303120 1308132 1349660 1417143 1453480 1466010 1495008 1563744 1619592 1635165 1675440 1744176 1804320 1868760 1889524 1900080 1954680 2024490 2159456 2180220 2345616 2361905 2429388 2491680 2606240 2616264 2699320 2834286 2906960 2932020 3036735 3239184 3270330 3350880 3488352 3737520 3779048 3800160 3909360 4048980 4251429 4360440 4691232 4723810 4858776 5232528 5398640 5668572 5813920 5864040 6073470 6478368 6540660 7085715 7475040 7558096 7818720 8097960 8502858 8720880 9447620 9717552 10465056 10797280 11337144 11728080 12146940 13081320 14171430 15116192 16195920 17005716 17441760 18895240 19435104 21257145 22674288 23456160 24293880 26162640 28342860 32391840 34011432 37790480 42514290 45348576 48587760 52325280 56685720 68022864 75580960 85028580 97175520 113371440 136045728 170057160 226742880 340114320 680228640
- Sum of all divisors σ(n): 2971987200
- Sum of proper divisors (its aliquot sum) s(n): 2291758560
- 680228640 is an abundant number, because the sum of its proper divisors (2291758560) is greater than itself. Its abundance is 1611529920
Bases of 680228640
- Binary: 1010001000101101110111001000002
- Hexadecimal: 0x288B7720
- Base-36: B8ZNS0
Squares and roots of 680228640
- 680228640 squared (6802286402) is 462711002676249600
- 680228640 cubed (6802286403) is 314749276063501625708544000
-
The
square root of 680228640 is 26081.1932242373 -
The
cube root of 680228640 is 879.4644813421
Scales and comparisons
How big is 680228640?- 680,228,640 seconds is equal to 21 years, 32 weeks, 5 days, 24 minutes.
-
To count from 1 to 680,228,640 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 680228640 cubic inches would be around 73.3 feet tall.
Recreational maths with 680228640
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