135500820
135,500,820 is an even composite number composed of seven prime numbers multiplied together.
135500820 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 135500820:
22 × 3 × 5 × 7 × 132 × 23 × 83
(2 × 2 × 3 × 5 × 7 × 13 × 13 × 23 × 83)See below for interesting mathematical facts about the number 135500820 from the Numbermatics database.
Names of 135500820
- Cardinal: 135500820 can be written as One hundred thirty-five million, five hundred thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3550082 × 108
Factors of 135500820
Divisors of 135500820
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 23 26 28 30 35 39 42 46 52 60 65 69 70 78 83 84 91 92 105 115 130 138 140 156 161 166 169 182 195 210 230 249 260 273 276 299 322 332 338 345 364 390 415 420 455 460 483 498 507 546 581 598 644 676 690 780 805 830 845 897 910 966 996 1014 1079 1092 1162 1183 1196 1245 1365 1380 1495 1610 1660 1690 1743 1794 1820 1909 1932 2028 2093 2158 2324 2366 2415 2490 2535 2730 2905 2990 3220 3237 3380 3486 3549 3588 3818 3887 4186 4316 4485 4732 4830 4980 5070 5395 5460 5727 5810 5915 5980 6279 6474 6972 7098 7553 7636 7774 8372 8715 8970 9545 9660 10140 10465 10790 11454 11620 11661 11830 12558 12948 13363 14027 14196 15106 15548 16185 17430 17745 17940 19090 19435 20930 21580 22659 22908 23322 23660 24817 25116 26726 27209 28054 28635 30212 31395 32370 34860 35490 37765 38180 38870 40089 41860 42081 45318 46644 49634 53452 54418 56108 57270 58305 62790 64740 66815 70135 70980 74451 75530 77740 80178 81627 84162 90636 98189 99268 108836 113295 114540 116610 124085 125580 133630 136045 140270 148902 151060 160356 163254 168324 173719 196378 200445 210405 226590 233220 248170 267260 272090 280540 294567 297804 322621 326508 347438 372255 392756 400890 408135 420810 453180 490945 496340 521157 544180 589134 645242 694876 744510 801780 816270 841620 868595 967863 981890 1042314 1178268 1290484 1472835 1489020 1613105 1632540 1737190 1935726 1963780 2084628 2258347 2605785 2945670 3226210 3474380 3871452 4516694 4839315 5211570 5891340 6452420 6775041 9033388 9678630 10423140 11291735 13550082 19357260 22583470 27100164 33875205 45166940 67750410 135500820
- Sum of all divisors σ(n): 495839232
- Sum of proper divisors (its aliquot sum) s(n): 360338412
- 135500820 is an abundant number, because the sum of its proper divisors (360338412) is greater than itself. Its abundance is 224837592
Bases of 135500820
- Binary: 10000001001110010100000101002
- Hexadecimal: 0x8139414
- Base-36: 28O93O
Squares and roots of 135500820
- 135500820 squared (1355008202) is 18360472220672400
- 135500820 cubed (1355008203) is 2487859041488331151368000
-
The
square root of 135500820 is 11640.4819487857 -
The
cube root of 135500820 is 513.6263642439
Scales and comparisons
How big is 135500820?- 135,500,820 seconds is equal to 4 years, 16 weeks, 7 hours, 7 minutes.
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To count from 1 to 135,500,820 would take you about six 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 135500820 cubic inches would be around 42.8 feet tall.
Recreational maths with 135500820
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