85288320
85,288,320 is an even composite number composed of six prime numbers multiplied together.
85288320 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 85288320:
27 × 32 × 5 × 13 × 17 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 67)See below for interesting mathematical facts about the number 85288320 from the Numbermatics database.
Names of 85288320
- Cardinal: 85288320 can be written as Eighty-five million, two hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.528832 × 107
Factors of 85288320
Divisors of 85288320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 67 68 72 78 80 85 90 96 102 104 117 120 128 130 134 136 144 153 156 160 170 180 192 195 201 204 208 221 234 240 255 260 268 272 288 306 312 320 335 340 360 384 390 402 408 416 442 468 480 510 520 536 544 576 585 603 612 624 640 663 670 680 720 765 780 804 816 832 871 884 936 960 1005 1020 1040 1072 1088 1105 1139 1152 1170 1206 1224 1248 1326 1340 1360 1440 1530 1560 1608 1632 1664 1742 1768 1872 1920 1989 2010 2040 2080 2144 2176 2210 2278 2340 2412 2448 2496 2613 2652 2680 2720 2880 3015 3060 3120 3216 3264 3315 3417 3484 3536 3744 3978 4020 4080 4160 4288 4355 4420 4556 4680 4824 4896 4992 5226 5304 5360 5440 5695 5760 6030 6120 6240 6432 6528 6630 6834 6968 7072 7488 7839 7956 8040 8160 8320 8576 8710 8840 9112 9360 9648 9792 9945 10251 10452 10608 10720 10880 11390 12060 12240 12480 12864 13065 13260 13668 13936 14144 14807 14976 15678 15912 16080 16320 17085 17420 17680 18224 18720 19296 19584 19890 20502 20904 21216 21440 22780 24120 24480 24960 25728 26130 26520 27336 27872 28288 29614 31356 31824 32160 32640 34170 34840 35360 36448 37440 38592 39195 39780 41004 41808 42432 42880 44421 45560 48240 48960 51255 52260 53040 54672 55744 59228 62712 63648 64320 68340 69680 70720 72896 74035 74880 77184 78390 79560 82008 83616 84864 88842 91120 96480 97920 102510 104520 106080 109344 111488 118456 125424 127296 128640 133263 136680 139360 141440 145792 148070 156780 159120 164016 167232 177684 182240 192960 205020 209040 212160 218688 222105 236912 250848 254592 266526 273360 278720 296140 313560 318240 328032 334464 355368 364480 385920 410040 418080 424320 437376 444210 473824 501696 533052 546720 557440 592280 627120 636480 656064 666315 710736 728960 820080 836160 888420 947648 1003392 1066104 1093440 1184560 1254240 1272960 1312128 1332630 1421472 1640160 1672320 1776840 1895296 2132208 2186880 2369120 2508480 2665260 2842944 3280320 3553680 4264416 4738240 5016960 5330520 5685888 6560640 7107360 8528832 9476480 10661040 14214720 17057664 21322080 28429440 42644160 85288320
- Sum of all divisors σ(n): 340835040
- Sum of proper divisors (its aliquot sum) s(n): 255546720
- 85288320 is an abundant number, because the sum of its proper divisors (255546720) is greater than itself. Its abundance is 170258400
Bases of 85288320
- Binary: 1010001010101100101100000002
- Hexadecimal: 0x5156580
- Base-36: 1ES0W0
Squares and roots of 85288320
- 85288320 squared (852883202) is 7274097528422400
- 85288320 cubed (852883203) is 620395557715298746368000
-
The
square root of 85288320 is 9235.1675675107 -
The
cube root of 85288320 is 440.1795410537
Scales and comparisons
How big is 85288320?- 85,288,320 seconds is equal to 2 years, 37 weeks, 3 hours, 12 minutes.
-
To count from 1 to 85,288,320 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 85288320 cubic inches would be around 36.7 feet tall.
Recreational maths with 85288320
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