85345920
85,345,920 is an even composite number composed of five prime numbers multiplied together.
85345920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 85345920:
27 × 33 × 5 × 11 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 449)See below for interesting mathematical facts about the number 85345920 from the Numbermatics database.
Names of 85345920
- Cardinal: 85345920 can be written as Eighty-five million, three hundred forty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.534592 × 107
Factors of 85345920
Divisors of 85345920
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 128 132 135 144 160 165 176 180 192 198 216 220 240 264 270 288 297 320 330 352 360 384 396 432 440 449 480 495 528 540 576 594 640 660 704 720 792 864 880 898 960 990 1056 1080 1152 1188 1320 1347 1408 1440 1485 1584 1728 1760 1796 1920 1980 2112 2160 2245 2376 2640 2694 2880 2970 3168 3456 3520 3592 3960 4041 4224 4320 4490 4752 4939 5280 5388 5760 5940 6336 6735 7040 7184 7920 8082 8640 8980 9504 9878 10560 10776 11880 12123 12672 13470 14368 14817 15840 16164 17280 17960 19008 19756 20205 21120 21552 23760 24246 24695 26940 28736 29634 31680 32328 35920 38016 39512 40410 43104 44451 47520 48492 49390 53880 57472 59268 60615 63360 64656 71840 74085 79024 80820 86208 88902 95040 96984 98780 107760 118536 121230 129312 133353 143680 148170 158048 161640 172416 177804 190080 193968 197560 215520 222255 237072 242460 258624 266706 287360 296340 316096 323280 355608 387936 395120 431040 444510 474144 484920 517248 533412 592680 632192 646560 666765 711216 775872 790240 862080 889020 948288 969840 1066824 1185360 1293120 1333530 1422432 1551744 1580480 1778040 1896576 1939680 2133648 2370720 2586240 2667060 2844864 3160960 3556080 3879360 4267296 4741440 5334120 5689728 7112160 7758720 8534592 9482880 10668240 14224320 17069184 21336480 28448640 42672960 85345920
- Sum of all divisors σ(n): 330480000
- Sum of proper divisors (its aliquot sum) s(n): 245134080
- 85345920 is an abundant number, because the sum of its proper divisors (245134080) is greater than itself. Its abundance is 159788160
Bases of 85345920
- Binary: 1010001011001000110100000002
- Hexadecimal: 0x5164680
- Base-36: 1ET9C0
Squares and roots of 85345920
- 85345920 squared (853459202) is 7283926060646400
- 85345920 cubed (853459203) is 621653370857842802688000
-
The
square root of 85345920 is 9238.2855552315 -
The
cube root of 85345920 is 440.2786114227
Scales and comparisons
How big is 85345920?- 85,345,920 seconds is equal to 2 years, 37 weeks, 19 hours, 12 minutes.
-
To count from 1 to 85,345,920 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 85345920 cubic inches would be around 36.7 feet tall.
Recreational maths with 85345920
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"Number 85345920 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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