102120480
102,120,480 is an even composite number composed of six prime numbers multiplied together.
102120480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 102120480:
25 × 33 × 5 × 7 × 11 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 307)See below for interesting mathematical facts about the number 102120480 from the Numbermatics database.
Names of 102120480
- Cardinal: 102120480 can be written as One hundred two million, one hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.0212048 × 108
Factors of 102120480
Divisors of 102120480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165 168 176 180 189 198 210 216 220 224 231 240 252 264 270 280 288 297 307 308 315 330 336 352 360 378 385 396 420 432 440 462 480 495 504 528 540 560 594 614 616 630 660 672 693 720 756 770 792 840 864 880 921 924 945 990 1008 1056 1080 1120 1155 1188 1228 1232 1260 1320 1386 1440 1485 1512 1535 1540 1584 1680 1760 1842 1848 1890 1980 2016 2079 2149 2160 2310 2376 2456 2464 2520 2640 2763 2772 2970 3024 3070 3080 3168 3360 3377 3465 3684 3696 3780 3960 4158 4298 4320 4605 4620 4752 4912 5040 5280 5526 5544 5940 6048 6140 6160 6447 6754 6930 7368 7392 7560 7920 8289 8316 8596 9210 9240 9504 9824 10080 10131 10395 10745 11052 11088 11880 12280 12320 12894 13508 13815 13860 14736 15120 15840 16578 16632 16885 17192 18420 18480 19341 20262 20790 21490 22104 22176 23639 23760 24560 25788 27016 27630 27720 29472 30240 30393 32235 33156 33264 33770 34384 36840 36960 38682 40524 41445 41580 42980 44208 47278 47520 49120 50655 51576 54032 55260 55440 58023 60786 64470 66312 66528 67540 68768 70917 73680 77364 81048 82890 83160 85960 88416 91179 94556 96705 101310 103152 108064 110520 110880 116046 118195 121572 128940 132624 135080 141834 147360 151965 154728 162096 165780 166320 171920 182358 189112 193410 202620 206304 212751 221040 232092 236390 243144 257880 265248 270160 283668 290115 303930 309456 324192 331560 332640 343840 354585 364716 378224 386820 405240 425502 442080 455895 464184 472780 486288 515760 540320 567336 580230 607860 618912 638253 663120 709170 729432 756448 773640 810480 851004 911790 928368 945560 972576 1031520 1063755 1134672 1160460 1215720 1276506 1326240 1418340 1458864 1547280 1620960 1702008 1823580 1856736 1891120 2127510 2269344 2320920 2431440 2553012 2836680 2917728 3094560 3191265 3404016 3647160 3782240 4255020 4641840 4862880 5106024 5673360 6382530 6808032 7294320 8510040 9283680 10212048 11346720 12765060 14588640 17020080 20424096 25530120 34040160 51060240 102120480
- Sum of all divisors σ(n): 447068160
- Sum of proper divisors (its aliquot sum) s(n): 344947680
- 102120480 is an abundant number, because the sum of its proper divisors (344947680) is greater than itself. Its abundance is 242827200
Bases of 102120480
- Binary: 1100001011000111100001000002
- Hexadecimal: 0x6163C20
- Base-36: 1OSSO0
Squares and roots of 102120480
- 102120480 squared (1021204802) is 10428592435430400
- 102120480 cubed (1021204803) is 1064972865230521454592000
-
The
square root of 102120480 is 10105.4678268747 -
The
cube root of 102120480 is 467.4167619445
Scales and comparisons
How big is 102120480?- 102,120,480 seconds is equal to 3 years, 12 weeks, 5 days, 22 hours, 48 minutes.
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To count from 1 to 102,120,480 would take you about four 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 102120480 cubic inches would be around 39 feet tall.
Recreational maths with 102120480
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