12768000
12,768,000 is an even composite number composed of five prime numbers multiplied together.
12768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12768000:
28 × 3 × 53 × 7 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19)See below for interesting mathematical facts about the number 12768000 from the Numbermatics database.
Names of 12768000
- Cardinal: 12768000 can be written as Twelve million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2768 × 107
Factors of 12768000
Divisors of 12768000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 125 128 133 140 150 152 160 168 175 190 192 200 210 224 228 240 250 256 266 280 285 300 304 320 336 350 375 380 384 399 400 420 448 456 475 480 500 525 532 560 570 600 608 640 665 672 700 750 760 768 798 800 840 875 896 912 950 960 1000 1050 1064 1120 1140 1200 1216 1280 1330 1344 1400 1425 1500 1520 1596 1600 1680 1750 1792 1824 1900 1920 1995 2000 2100 2128 2240 2280 2375 2400 2432 2625 2660 2688 2800 2850 3000 3040 3192 3200 3325 3360 3500 3648 3800 3840 3990 4000 4200 4256 4480 4560 4750 4800 4864 5250 5320 5376 5600 5700 6000 6080 6384 6400 6650 6720 7000 7125 7296 7600 7980 8000 8400 8512 8960 9120 9500 9600 9975 10500 10640 11200 11400 12000 12160 12768 13300 13440 14000 14250 14592 15200 15960 16000 16625 16800 17024 18240 19000 19200 19950 21000 21280 22400 22800 24000 24320 25536 26600 26880 28000 28500 30400 31920 32000 33250 33600 34048 36480 38000 39900 42000 42560 44800 45600 48000 49875 51072 53200 56000 57000 60800 63840 66500 67200 72960 76000 79800 84000 85120 91200 96000 99750 102144 106400 112000 114000 121600 127680 133000 134400 152000 159600 168000 170240 182400 199500 212800 224000 228000 255360 266000 304000 319200 336000 364800 399000 425600 456000 510720 532000 608000 638400 672000 798000 851200 912000 1064000 1276800 1596000 1824000 2128000 2553600 3192000 4256000 6384000 12768000
- Sum of all divisors σ(n): 51018240
- Sum of proper divisors (its aliquot sum) s(n): 38250240
- 12768000 is an abundant number, because the sum of its proper divisors (38250240) is greater than itself. Its abundance is 25482240
Bases of 12768000
- Binary: 1100001011010011000000002
- Hexadecimal: 0xC2D300
- Base-36: 7LNUO
Squares and roots of 12768000
- 12768000 squared (127680002) is 163021824000000
- 12768000 cubed (127680003) is 2081462648832000000000
-
The
square root of 12768000 is 3573.2338294603 -
The
cube root of 12768000 is 233.7263218697
Scales and comparisons
How big is 12768000?- 12,768,000 seconds is equal to 21 weeks, 18 hours, 40 minutes.
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To count from 1 to 12,768,000 would take you about thirty-one 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 12768000 cubic inches would be around 19.5 feet tall.
Recreational maths with 12768000
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The information we have on file for 12768000 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!
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