85399200
85,399,200 is an even composite number composed of five prime numbers multiplied together.
85399200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 85399200:
25 × 32 × 52 × 29 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 29 × 409)See below for interesting mathematical facts about the number 85399200 from the Numbermatics database.
Names of 85399200
- Cardinal: 85399200 can be written as Eighty-five million, three hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 8.53992 × 107
Factors of 85399200
Divisors of 85399200
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 200 225 232 240 261 288 290 300 348 360 400 409 435 450 464 480 522 580 600 696 720 725 800 818 870 900 928 1044 1160 1200 1227 1305 1392 1440 1450 1636 1740 1800 2045 2088 2175 2320 2400 2454 2610 2784 2900 3272 3480 3600 3681 4090 4176 4350 4640 4908 5220 5800 6135 6525 6544 6960 7200 7362 8180 8352 8700 9816 10225 10440 11600 11861 12270 13050 13088 13920 14724 16360 17400 18405 19632 20450 20880 23200 23722 24540 26100 29448 30675 32720 34800 35583 36810 39264 40900 41760 47444 49080 52200 58896 59305 61350 65440 69600 71166 73620 81800 92025 94888 98160 104400 106749 117792 118610 122700 142332 147240 163600 177915 184050 189776 196320 208800 213498 237220 245400 284664 294480 296525 327200 355830 368100 379552 426996 474440 490800 533745 569328 588960 593050 711660 736200 853992 889575 948880 981600 1067490 1138656 1186100 1423320 1472400 1707984 1779150 1897760 2134980 2372200 2668725 2846640 2944800 3415968 3558300 4269960 4744400 5337450 5693280 7116600 8539920 9488800 10674900 14233200 17079840 21349800 28466400 42699600 85399200
- Sum of all divisors σ(n): 312284700
- Sum of proper divisors (its aliquot sum) s(n): 226885500
- 85399200 is an abundant number, because the sum of its proper divisors (226885500) is greater than itself. Its abundance is 141486300
Bases of 85399200
- Binary: 1010001011100010110101000002
- Hexadecimal: 0x51716A0
- Base-36: 1EUEG0
Squares and roots of 85399200
- 85399200 squared (853992002) is 7293023360640000
- 85399200 cubed (853992003) is 622818360579967488000000
-
The
square root of 85399200 is 9241.1687572515 -
The
cube root of 85399200 is 440.3702118357
Scales and comparisons
How big is 85399200?- 85,399,200 seconds is equal to 2 years, 37 weeks, 1 day, 10 hours.
-
To count from 1 to 85,399,200 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 85399200 cubic inches would be around 36.7 feet tall.
Recreational maths with 85399200
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