85728240
85,728,240 is an even composite number composed of six prime numbers multiplied together.
85728240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 85728240:
24 × 33 × 5 × 13 × 43 × 71
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 43 × 71)See below for interesting mathematical facts about the number 85728240 from the Numbermatics database.
Names of 85728240
- Cardinal: 85728240 can be written as Eighty-five million, seven hundred twenty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 8.572824 × 107
Factors of 85728240
Divisors of 85728240
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 43 45 48 52 54 60 65 71 72 78 80 86 90 104 108 117 120 129 130 135 142 144 156 172 180 195 208 213 215 216 234 240 258 260 270 284 312 344 351 355 360 387 390 426 430 432 468 516 520 540 559 568 585 624 639 645 688 702 710 720 774 780 852 860 923 936 1032 1040 1065 1080 1118 1136 1161 1170 1278 1290 1404 1420 1548 1560 1677 1704 1720 1755 1846 1872 1917 1935 2064 2130 2160 2236 2322 2340 2556 2580 2769 2795 2808 2840 3053 3096 3120 3195 3354 3408 3440 3510 3692 3834 3870 4260 4472 4615 4644 4680 5031 5112 5160 5538 5590 5616 5680 5805 6106 6192 6390 6708 7020 7384 7668 7740 8307 8385 8520 8944 9159 9230 9288 9360 9585 10062 10224 10320 11076 11180 11610 12212 12780 13416 13845 14040 14768 15093 15265 15336 15480 16614 16770 17040 18318 18460 18576 19170 20124 22152 22360 23220 24424 24921 25155 25560 26832 27477 27690 28080 30186 30530 30672 30960 33228 33540 36636 36920 38340 39689 40248 41535 44304 44720 45795 46440 48848 49842 50310 51120 54954 55380 60372 61060 66456 67080 73272 73840 75465 76680 79378 80496 82431 83070 91590 92880 99684 100620 109908 110760 119067 120744 122120 124605 132912 134160 137385 146544 150930 153360 158756 164862 166140 183180 198445 199368 201240 219816 221520 238134 241488 244240 249210 274770 301860 317512 329724 332280 357201 366360 396890 398736 402480 412155 439632 476268 498420 549540 595335 603720 635024 659448 664560 714402 732720 793780 824310 952536 996840 1071603 1099080 1190670 1207440 1318896 1428804 1587560 1648620 1786005 1905072 1993680 2143206 2198160 2381340 2857608 3175120 3297240 3572010 4286412 4762680 5358015 5715216 6594480 7144020 8572824 9525360 10716030 14288040 17145648 21432060 28576080 42864120 85728240
- Sum of all divisors σ(n): 329978880
- Sum of proper divisors (its aliquot sum) s(n): 244250640
- 85728240 is an abundant number, because the sum of its proper divisors (244250640) is greater than itself. Its abundance is 158522400
Bases of 85728240
- Binary: 1010001110000011011111100002
- Hexadecimal: 0x51C1BF0
- Base-36: 1F1GC0
Squares and roots of 85728240
- 85728240 squared (857282402) is 7349331133497600
- 85728240 cubed (857282403) is 630045223251954292224000
-
The
square root of 85728240 is 9258.9545846169 -
The
cube root of 85728240 is 440.9350637879
Scales and comparisons
How big is 85728240?- 85,728,240 seconds is equal to 2 years, 37 weeks, 5 days, 5 hours, 24 minutes.
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To count from 1 to 85,728,240 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 85728240 cubic inches would be around 36.7 feet tall.
Recreational maths with 85728240
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