85351200
85,351,200 is an even composite number composed of six prime numbers multiplied together.
85351200 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 85351200:
25 × 3 × 52 × 11 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 53 × 61)See below for interesting mathematical facts about the number 85351200 from the Numbermatics database.
Names of 85351200
- Cardinal: 85351200 can be written as Eighty-five million, three hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 8.53512 × 107
Factors of 85351200
Divisors of 85351200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 53 55 60 61 66 75 80 88 96 100 106 110 120 122 132 150 159 160 165 176 183 200 212 220 240 244 264 265 275 300 305 318 330 352 366 400 424 440 480 488 528 530 550 583 600 610 636 660 671 732 795 800 825 848 880 915 976 1056 1060 1100 1166 1200 1220 1272 1320 1325 1342 1464 1525 1590 1650 1696 1749 1760 1830 1952 2013 2120 2200 2332 2400 2440 2544 2640 2650 2684 2915 2928 3050 3180 3233 3300 3355 3498 3660 3975 4026 4240 4400 4575 4664 4880 5088 5280 5300 5368 5830 5856 6100 6360 6466 6600 6710 6996 7320 7950 8052 8480 8745 8800 9150 9328 9699 9760 10065 10600 10736 11660 12200 12720 12932 13200 13420 13992 14575 14640 15900 16104 16165 16775 17490 18300 18656 19398 20130 21200 21472 23320 24400 25440 25864 26400 26840 27984 29150 29280 31800 32208 32330 33550 34980 35563 36600 38796 40260 42400 43725 46640 48495 48800 50325 51728 53680 55968 58300 63600 64416 64660 67100 69960 71126 73200 77592 80520 80825 87450 93280 96990 100650 103456 106689 107360 116600 127200 129320 134200 139920 142252 146400 155184 161040 161650 174900 177815 193980 201300 213378 233200 242475 258640 268400 279840 284504 310368 322080 323300 349800 355630 387960 402600 426756 466400 484950 517280 533445 536800 569008 646600 699600 711260 775920 805200 853512 889075 969900 1066890 1138016 1293200 1399200 1422520 1551840 1610400 1707024 1778150 1939800 2133780 2586400 2667225 2845040 3414048 3556300 3879600 4267560 5334450 5690080 7112600 7759200 8535120 10668900 14225200 17070240 21337800 28450400 42675600 85351200
- Sum of all divisors σ(n): 313854912
- Sum of proper divisors (its aliquot sum) s(n): 228503712
- 85351200 is an abundant number, because the sum of its proper divisors (228503712) is greater than itself. Its abundance is 143152512
Bases of 85351200
- Binary: 1010001011001011011001000002
- Hexadecimal: 0x5165B20
- Base-36: 1ETDEO
Squares and roots of 85351200
- 85351200 squared (853512002) is 7284827341440000
- 85351200 cubed (853512003) is 621768755384713728000000
-
The
square root of 85351200 is 9238.5713181205 -
The
cube root of 85351200 is 440.2876906425
Scales and comparisons
How big is 85351200?- 85,351,200 seconds is equal to 2 years, 37 weeks, 20 hours, 40 minutes.
-
To count from 1 to 85,351,200 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 85351200 cubic inches would be around 36.7 feet tall.
Recreational maths with 85351200
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