968083200
968,083,200 is an even composite number composed of four prime numbers multiplied together.
968083200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty-six divisors.
Prime factorization of 968083200:
28 × 32 × 52 × 75
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 968083200 from the Numbermatics database.
Names of 968083200
- Cardinal: 968083200 can be written as Nine hundred sixty-eight million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 9.680832 × 108
Factors of 968083200
Divisors of 968083200
- Number of divisors d(n): 486
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 343 350 360 384 392 400 420 441 448 450 480 490 504 525 560 576 588 600 630 640 672 686 700 720 735 768 784 800 840 882 896 900 960 980 1008 1029 1050 1120 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1568 1575 1600 1680 1715 1764 1792 1800 1920 1960 2016 2058 2100 2205 2240 2304 2352 2400 2401 2450 2520 2688 2744 2800 2880 2940 3087 3136 3150 3200 3360 3430 3528 3600 3675 3840 3920 4032 4116 4200 4410 4480 4704 4800 4802 4900 5040 5145 5376 5488 5600 5760 5880 6174 6272 6300 6400 6720 6860 7056 7200 7203 7350 7840 8064 8232 8400 8575 8820 8960 9408 9600 9604 9800 10080 10290 10976 11025 11200 11520 11760 12005 12348 12544 12600 13440 13720 14112 14400 14406 14700 15435 15680 16128 16464 16800 16807 17150 17640 18816 19200 19208 19600 20160 20580 21609 21952 22050 22400 23520 24010 24696 25200 25725 26880 27440 28224 28800 28812 29400 30870 31360 32928 33600 33614 34300 35280 36015 37632 38416 39200 40320 41160 43218 43904 44100 44800 47040 48020 49392 50400 50421 51450 54880 56448 57600 57624 58800 60025 61740 62720 65856 67200 67228 68600 70560 72030 76832 77175 78400 80640 82320 84035 86436 87808 88200 94080 96040 98784 100800 100842 102900 108045 109760 112896 115248 117600 120050 123480 131712 134400 134456 137200 141120 144060 151263 153664 154350 156800 164640 168070 172872 176400 180075 188160 192080 197568 201600 201684 205800 216090 219520 230496 235200 240100 246960 252105 263424 268912 274400 282240 288120 302526 307328 308700 313600 329280 336140 345744 352800 360150 384160 395136 403200 403368 411600 420175 432180 439040 460992 470400 480200 493920 504210 537824 540225 548800 564480 576240 605052 614656 617400 658560 672280 691488 705600 720300 756315 768320 790272 806736 823200 840350 864360 921984 940800 960400 987840 1008420 1075648 1080450 1097600 1152480 1210104 1234800 1260525 1317120 1344560 1382976 1411200 1440600 1512630 1536640 1613472 1646400 1680700 1728720 1843968 1920800 1975680 2016840 2151296 2160900 2195200 2304960 2420208 2469600 2521050 2689120 2765952 2822400 2881200 3025260 3073280 3226944 3292800 3361400 3457440 3781575 3841600 3951360 4033680 4302592 4321800 4609920 4840416 4939200 5042100 5378240 5531904 5762400 6050520 6453888 6585600 6722800 6914880 7563150 7683200 8067360 8643600 9219840 9680832 9878400 10084200 10756480 11524800 12101040 12907776 13445600 13829760 15126300 15366400 16134720 17287200 19361664 19756800 20168400 21512960 23049600 24202080 26891200 27659520 30252600 32269440 34574400 38723328 40336800 46099200 48404160 53782400 60505200 64538880 69148800 80673600 96808320 107564800 121010400 138297600 161347200 193616640 242020800 322694400 484041600 968083200
- Sum of all divisors σ(n): 4037934264
- Sum of proper divisors (its aliquot sum) s(n): 3069851064
- 968083200 is an abundant number, because the sum of its proper divisors (3069851064) is greater than itself. Its abundance is 2101767864
Bases of 968083200
- Binary: 1110011011001111000111000000002
- Hexadecimal: 0x39B3C700
- Base-36: G0DDS0
Squares and roots of 968083200
- 968083200 squared (9680832002) is 937185082122240000
- 968083200 cubed (9680832003) is 907273133293160890368000000
-
The
square root of 968083200 is 31114.0354181197 -
The
cube root of 968083200 is 989.2458290551
Scales and comparisons
How big is 968083200?- 968,083,200 seconds is equal to 30 years, 40 weeks, 4 days, 16 hours.
-
To count from 1 to 968,083,200 would take you about forty-six 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 968083200 cubic inches would be around 82.4 feet tall.
Recreational maths with 968083200
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 968083200 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 968083200 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/968083200/
Chicago style:
Numbermatics. 2024. "Number 968083200 - Facts about the integer". https://numbermatics.com/n/968083200/
The information we have on file for 968083200 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 968083200, math, Factors of 968083200, curriculum, school, college, exams, university, Prime factorization of 968083200, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight million, eighty-three thousand, two hundred.