680048820
680,048,820 is an even composite number composed of seven prime numbers multiplied together.
680048820 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 680048820:
22 × 32 × 5 × 11 × 23 × 109 × 137
(2 × 2 × 3 × 3 × 5 × 11 × 23 × 109 × 137)See below for interesting mathematical facts about the number 680048820 from the Numbermatics database.
Names of 680048820
- Cardinal: 680048820 can be written as Six hundred eighty million, forty-eight thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 6.8004882 × 108
Factors of 680048820
Divisors of 680048820
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 109 110 115 132 137 138 165 180 198 207 218 220 230 253 274 276 327 330 345 396 411 414 436 460 495 506 545 548 654 660 685 690 759 822 828 981 990 1012 1035 1090 1199 1233 1265 1308 1370 1380 1507 1518 1635 1644 1962 1980 2055 2070 2180 2277 2398 2466 2507 2530 2740 3014 3036 3151 3270 3597 3795 3924 4110 4140 4521 4554 4796 4905 4932 5014 5060 5995 6028 6165 6302 6540 7194 7521 7535 7590 8220 9042 9108 9453 9810 10028 10791 11385 11990 12330 12535 12604 13563 14388 14933 15042 15070 15180 15755 17985 18084 18906 19620 21582 22563 22605 22770 23980 24660 25070 27126 27577 28359 29866 30084 30140 31510 34661 35970 37605 37812 43164 44799 45126 45210 45540 47265 50140 53955 54252 55154 56718 59732 63020 67815 69322 71940 74665 75210 82731 89598 90252 90420 94530 103983 107910 110308 112815 113436 134397 135630 137885 138644 141795 149330 150420 164263 165462 173305 179196 189060 207966 215820 223995 225630 248193 268794 271260 275770 283590 298660 311949 328526 330924 343459 346610 413655 415932 447990 451260 492789 496386 519915 537588 551540 567180 623898 657052 671985 686918 693220 821315 827310 895980 985578 992772 1030377 1039830 1240965 1247796 1343970 1373836 1478367 1559745 1642630 1654620 1717295 1971156 2060754 2079660 2463945 2481930 2687940 2956734 3091131 3119490 3285260 3434590 3778049 4121508 4927890 4963860 5151885 5913468 6182262 6238980 6869180 7391835 7556098 9855780 10303770 11334147 12364524 14783670 15112196 15455655 18890245 20607540 22668294 29567340 30911310 34002441 37780490 45336588 56670735 61822620 68004882 75560980 113341470 136009764 170012205 226682940 340024410 680048820
- Sum of all divisors σ(n): 2387024640
- Sum of proper divisors (its aliquot sum) s(n): 1706975820
- 680048820 is an abundant number, because the sum of its proper divisors (1706975820) is greater than itself. Its abundance is 1026927000
Bases of 680048820
- Binary: 1010001000100010111000101101002
- Hexadecimal: 0x2888B8B4
- Base-36: B8VT10
Squares and roots of 680048820
- 680048820 squared (6800488202) is 462466397583392400
- 680048820 cubed (6800488203) is 314499727966236853216968000
-
The
square root of 680048820 is 26077.7456847789 -
The
cube root of 680048820 is 879.3869783619
Scales and comparisons
How big is 680048820?- 680,048,820 seconds is equal to 21 years, 32 weeks, 2 days, 22 hours, 27 minutes.
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To count from 1 to 680,048,820 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 680048820 cubic inches would be around 73.3 feet tall.
Recreational maths with 680048820
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