85706400
85,706,400 is an even composite number composed of six prime numbers multiplied together.
85706400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 85706400:
25 × 3 × 52 × 13 × 41 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 41 × 67)See below for interesting mathematical facts about the number 85706400 from the Numbermatics database.
Names of 85706400
- Cardinal: 85706400 can be written as Eighty-five million, seven hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 8.57064 × 107
Factors of 85706400
Divisors of 85706400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 65 67 75 78 80 82 96 100 104 120 123 130 134 150 156 160 164 195 200 201 205 208 240 246 260 268 300 312 325 328 335 390 400 402 410 416 480 492 520 533 536 600 615 624 650 656 670 780 800 804 820 871 975 984 1005 1025 1040 1066 1072 1200 1230 1248 1300 1312 1340 1560 1599 1608 1640 1675 1742 1950 1968 2010 2050 2080 2132 2144 2400 2460 2600 2613 2665 2680 2747 3075 3120 3198 3216 3280 3350 3484 3900 3936 4020 4100 4264 4355 4920 5025 5200 5226 5330 5360 5494 6150 6240 6396 6432 6560 6700 6968 7800 7995 8040 8200 8241 8528 8710 9840 10050 10400 10452 10660 10720 10988 12300 12792 13065 13325 13400 13735 13936 15600 15990 16080 16400 16482 17056 17420 19680 20100 20904 21320 21775 21976 24600 25584 26130 26650 26800 27470 27872 31200 31980 32160 32800 32964 34840 35711 39975 40200 41205 41808 42640 43550 43952 49200 51168 52260 53300 53600 54940 63960 65325 65928 68675 69680 71422 79950 80400 82410 83616 85280 87100 87904 98400 104520 106600 107133 109880 127920 130650 131856 137350 139360 142844 159900 160800 164820 174200 178555 206025 209040 213200 214266 219760 255840 261300 263712 274700 285688 319800 329640 348400 357110 412050 418080 426400 428532 439520 522600 535665 549400 571376 639600 659280 696800 714220 824100 857064 892775 1045200 1071330 1098800 1142752 1279200 1318560 1428440 1648200 1714128 1785550 2090400 2142660 2197600 2678325 2856880 3296400 3428256 3571100 4285320 5356650 5713760 6592800 7142200 8570640 10713300 14284400 17141280 21426600 28568800 42853200 85706400
- Sum of all divisors σ(n): 312355008
- Sum of proper divisors (its aliquot sum) s(n): 226648608
- 85706400 is an abundant number, because the sum of its proper divisors (226648608) is greater than itself. Its abundance is 140942208
Bases of 85706400
- Binary: 1010001101111000110101000002
- Hexadecimal: 0x51BC6A0
- Base-36: 1F0ZHC
Squares and roots of 85706400
- 85706400 squared (857064002) is 7345587000960000
- 85706400 cubed (857064003) is 629563817739078144000000
-
The
square root of 85706400 is 9257.7751106837 -
The
cube root of 85706400 is 440.8976166187
Scales and comparisons
How big is 85706400?- 85,706,400 seconds is equal to 2 years, 37 weeks, 4 days, 23 hours, 20 minutes.
-
To count from 1 to 85,706,400 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 85706400 cubic inches would be around 36.7 feet tall.
Recreational maths with 85706400
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