85942080
85,942,080 is an even composite number composed of five prime numbers multiplied together.
85942080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 85942080:
26 × 33 × 5 × 73 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 29)See below for interesting mathematical facts about the number 85942080 from the Numbermatics database.
Names of 85942080
- Cardinal: 85942080 can be written as Eighty-five million, nine hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 8.594208 × 107
Factors of 85942080
Divisors of 85942080
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 49 54 56 58 60 63 64 70 72 80 84 87 90 96 98 105 108 112 116 120 126 135 140 144 145 147 160 168 174 180 189 192 196 203 210 216 224 232 240 245 252 261 270 280 288 290 294 315 320 336 343 348 360 378 392 406 420 432 435 441 448 464 480 490 504 522 540 560 576 580 588 609 630 672 686 696 720 735 756 783 784 812 840 864 870 882 928 945 960 980 1008 1015 1029 1044 1080 1120 1160 1176 1218 1260 1305 1323 1344 1372 1392 1421 1440 1470 1512 1566 1568 1624 1680 1715 1728 1740 1764 1827 1856 1890 1960 2016 2030 2058 2088 2160 2205 2240 2320 2352 2436 2520 2610 2646 2744 2784 2842 2880 2940 3024 3045 3087 3132 3136 3248 3360 3430 3480 3528 3654 3780 3915 3920 4032 4060 4116 4176 4263 4320 4410 4640 4704 4872 5040 5145 5220 5292 5481 5488 5568 5684 5880 6048 6090 6174 6264 6496 6615 6720 6860 6960 7056 7105 7308 7560 7830 7840 8120 8232 8352 8526 8640 8820 9135 9261 9280 9408 9744 9947 10080 10290 10440 10584 10962 10976 11368 11760 12096 12180 12348 12528 12789 12992 13230 13720 13920 14112 14210 14616 15120 15435 15660 15680 16240 16464 16704 17052 17640 18270 18522 19488 19894 20160 20580 20880 21168 21315 21924 21952 22736 23520 24360 24696 25056 25578 26460 27405 27440 27840 28224 28420 29232 29841 30240 30870 31320 32480 32928 34104 35280 36540 37044 38367 38976 39788 41160 41760 42336 42630 43848 45472 46305 47040 48720 49392 49735 50112 51156 52920 54810 54880 56840 58464 59682 60480 61740 62640 63945 64960 65856 68208 70560 73080 74088 76734 79576 82320 83520 84672 85260 87696 89523 90944 92610 97440 98784 99470 102312 105840 109620 109760 113680 116928 119364 123480 125280 127890 136416 141120 146160 148176 149205 153468 159152 164640 170520 175392 179046 185220 191835 194880 197568 198940 204624 211680 219240 227360 238728 246960 250560 255780 268569 272832 292320 296352 298410 306936 318304 329280 341040 350784 358092 370440 383670 397880 409248 423360 438480 447615 454720 477456 493920 511560 537138 584640 592704 596820 613872 636608 682080 716184 740880 767340 795760 818496 876960 895230 954912 987840 1023120 1074276 1193640 1227744 1342845 1364160 1432368 1481760 1534680 1591520 1753920 1790460 1909824 2046240 2148552 2387280 2455488 2685690 2864736 2963520 3069360 3183040 3580920 4092480 4297104 4774560 5371380 5729472 6138720 7161840 8594208 9549120 10742760 12277440 14323680 17188416 21485520 28647360 42971040 85942080
- Sum of all divisors σ(n): 365760000
- Sum of proper divisors (its aliquot sum) s(n): 279817920
- 85942080 is an abundant number, because the sum of its proper divisors (279817920) is greater than itself. Its abundance is 193875840
Bases of 85942080
- Binary: 1010001111101011111010000002
- Hexadecimal: 0x51F5F40
- Base-36: 1F61C0
Squares and roots of 85942080
- 85942080 squared (859420802) is 7386041114726400
- 85942080 cubed (859420803) is 634771736365105446912000
-
The
square root of 85942080 is 9270.4951324079 -
The
cube root of 85942080 is 441.3013812895
Scales and comparisons
How big is 85942080?- 85,942,080 seconds is equal to 2 years, 38 weeks, 16 hours, 48 minutes.
-
To count from 1 to 85,942,080 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 85942080 cubic inches would be around 36.8 feet tall.
Recreational maths with 85942080
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