9828000
9,828,000 is an even composite number composed of five prime numbers multiplied together.
9828000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 9828000:
25 × 33 × 53 × 7 × 13
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13)See below for interesting mathematical facts about the number 9828000 from the Numbermatics database.
Names of 9828000
- Cardinal: 9828000 can be written as Nine million, eight hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.828 × 106
Factors of 9828000
Divisors of 9828000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 125 126 130 135 140 144 150 156 160 168 175 180 182 189 195 200 208 210 216 224 225 234 240 250 252 260 270 273 280 288 300 312 315 325 336 350 351 360 364 375 378 390 400 416 420 432 450 455 468 480 500 504 520 525 540 546 560 585 600 624 630 650 672 675 700 702 720 728 750 756 780 800 819 840 864 875 900 910 936 945 975 1000 1008 1040 1050 1080 1092 1120 1125 1170 1200 1248 1260 1300 1350 1365 1400 1404 1440 1456 1500 1512 1560 1575 1625 1638 1680 1750 1755 1800 1820 1872 1890 1950 2000 2016 2080 2100 2160 2184 2250 2275 2340 2400 2457 2520 2600 2625 2700 2730 2800 2808 2912 2925 3000 3024 3120 3150 3250 3276 3360 3375 3500 3510 3600 3640 3744 3780 3900 4000 4095 4200 4320 4368 4500 4550 4680 4725 4875 4914 5040 5200 5250 5400 5460 5600 5616 5850 6000 6048 6240 6300 6500 6552 6750 6825 7000 7020 7200 7280 7560 7800 7875 8190 8400 8736 8775 9000 9100 9360 9450 9750 9828 10080 10400 10500 10800 10920 11232 11375 11700 12000 12285 12600 13000 13104 13500 13650 14000 14040 14560 14625 15120 15600 15750 16380 16800 17550 18000 18200 18720 18900 19500 19656 20475 21000 21600 21840 22750 23400 23625 24570 25200 26000 26208 27000 27300 28000 28080 29250 30240 31200 31500 32760 34125 35100 36000 36400 37800 39000 39312 40950 42000 43680 43875 45500 46800 47250 49140 50400 52000 54000 54600 56160 58500 61425 63000 65520 68250 70200 72800 75600 78000 78624 81900 84000 87750 91000 93600 94500 98280 102375 108000 109200 117000 122850 126000 131040 136500 140400 151200 156000 163800 175500 182000 189000 196560 204750 218400 234000 245700 252000 273000 280800 307125 327600 351000 364000 378000 393120 409500 468000 491400 546000 614250 655200 702000 756000 819000 982800 1092000 1228500 1404000 1638000 1965600 2457000 3276000 4914000 9828000
- Sum of all divisors σ(n): 44029440
- Sum of proper divisors (its aliquot sum) s(n): 34201440
- 9828000 is an abundant number, because the sum of its proper divisors (34201440) is greater than itself. Its abundance is 24373440
Bases of 9828000
- Binary: 1001010111110110101000002
- Hexadecimal: 0x95F6A0
- Base-36: 5UNC0
Squares and roots of 9828000
- 9828000 squared (98280002) is 96589584000000
- 9828000 cubed (98280003) is 949282431552000000000
-
The
square root of 9828000 is 3134.9641146273 -
The
cube root of 9828000 is 214.2011094577
Scales and comparisons
How big is 9828000?- 9,828,000 seconds is equal to 16 weeks, 1 day, 18 hours.
-
To count from 1 to 9,828,000 would take you about twenty-four weeks!
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 9828000 cubic inches would be around 17.9 feet tall.
Recreational maths with 9828000
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 9828000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 9828000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/9828000/
Chicago style:
Numbermatics. 2024. "Number 9828000 - Facts about the integer". https://numbermatics.com/n/9828000/
The information we have on file for 9828000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 9828000, math, Factors of 9828000, curriculum, school, college, exams, university, Prime factorization of 9828000, STEM, science, technology, engineering, physics, economics, calculator, nine million, eight hundred twenty-eight thousand.