135083520
135,083,520 is an even composite number composed of six prime numbers multiplied together.
135083520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135083520:
29 × 32 × 5 × 11 × 13 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 41)See below for interesting mathematical facts about the number 135083520 from the Numbermatics database.
Names of 135083520
- Cardinal: 135083520 can be written as One hundred thirty-five million, eighty-three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3508352 × 108
Factors of 135083520
Divisors of 135083520
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 41 44 45 48 52 55 60 64 65 66 72 78 80 82 88 90 96 99 104 110 117 120 123 128 130 132 143 144 156 160 164 165 176 180 192 195 198 205 208 220 234 240 246 256 260 264 286 288 312 320 328 330 352 360 369 384 390 396 410 416 429 440 451 468 480 492 495 512 520 528 533 572 576 585 615 624 640 656 660 704 715 720 738 768 780 792 820 832 858 880 902 936 960 984 990 1040 1056 1066 1144 1152 1170 1230 1248 1280 1287 1312 1320 1353 1408 1430 1440 1476 1536 1560 1584 1599 1640 1664 1716 1760 1804 1845 1872 1920 1968 1980 2080 2112 2132 2145 2255 2288 2304 2340 2460 2496 2560 2574 2624 2640 2665 2706 2816 2860 2880 2952 3120 3168 3198 3280 3328 3432 3520 3608 3690 3744 3840 3936 3960 4059 4160 4224 4264 4290 4510 4576 4608 4680 4797 4920 4992 5148 5248 5280 5330 5412 5632 5720 5760 5863 5904 6240 6336 6396 6435 6560 6656 6765 6864 7040 7216 7380 7488 7680 7872 7920 7995 8118 8320 8448 8528 8580 9020 9152 9360 9594 9840 9984 10296 10496 10560 10660 10824 11440 11520 11726 11808 12480 12672 12792 12870 13120 13530 13728 14080 14432 14760 14976 15744 15840 15990 16236 16640 16896 17056 17160 17589 18040 18304 18720 19188 19680 19968 20295 20592 20992 21120 21320 21648 22880 23040 23452 23616 23985 24960 25344 25584 25740 26240 27060 27456 28160 28864 29315 29520 29952 31488 31680 31980 32472 33280 34112 34320 35178 36080 36608 37440 38376 39360 40590 41184 42240 42640 43296 45760 46904 47232 47970 49920 50688 51168 51480 52480 52767 54120 54912 57728 58630 59040 59904 62976 63360 63960 64944 68224 68640 70356 72160 73216 74880 76752 78720 81180 82368 84480 85280 86592 87945 91520 93808 94464 95940 99840 102336 102960 104960 105534 108240 109824 115456 117260 118080 126720 127920 129888 136448 137280 140712 144320 149760 153504 157440 162360 164736 170560 173184 175890 183040 187616 188928 191880 204672 205920 211068 216480 219648 230912 234520 236160 253440 255840 259776 263835 272896 274560 281424 288640 299520 307008 314880 324720 329472 341120 346368 351780 366080 375232 383760 409344 411840 422136 432960 469040 472320 511680 519552 527670 549120 562848 577280 614016 649440 658944 682240 692736 703560 750464 767520 818688 823680 844272 865920 938080 944640 1023360 1039104 1055340 1098240 1125696 1154560 1228032 1298880 1364480 1407120 1500928 1535040 1647360 1688544 1731840 1876160 2046720 2078208 2110680 2251392 2456064 2597760 2814240 3001856 3070080 3294720 3377088 3463680 3752320 4093440 4221360 4502784 5195520 5628480 6140160 6754176 7504640 8442720 9005568 10391040 11256960 12280320 13508352 15009280 16885440 22513920 27016704 33770880 45027840 67541760 135083520
- Sum of all divisors σ(n): 563026464
- Sum of proper divisors (its aliquot sum) s(n): 427942944
- 135083520 is an abundant number, because the sum of its proper divisors (427942944) is greater than itself. Its abundance is 292859424
Bases of 135083520
- Binary: 10000000110100110110000000002
- Hexadecimal: 0x80D3600
- Base-36: 28FB40
Squares and roots of 135083520
- 135083520 squared (1350835202) is 18247557375590400
- 135083520 cubed (1350835203) is 2464944281696713310208000
-
The
square root of 135083520 is 11622.5436114475 -
The
cube root of 135083520 is 513.0985527061
Scales and comparisons
How big is 135083520?- 135,083,520 seconds is equal to 4 years, 15 weeks, 2 days, 11 hours, 12 minutes.
-
To count from 1 to 135,083,520 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 135083520 cubic inches would be around 42.8 feet tall.
Recreational maths with 135083520
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