12828480
12,828,480 is an even composite number composed of six prime numbers multiplied together.
12828480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 12828480:
26 × 3 × 5 × 7 × 23 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 83)See below for interesting mathematical facts about the number 12828480 from the Numbermatics database.
Names of 12828480
- Cardinal: 12828480 can be written as Twelve million, eight hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.282848 × 107
Factors of 12828480
Divisors of 12828480
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 56 60 64 69 70 80 83 84 92 96 105 112 115 120 138 140 160 161 166 168 184 192 210 224 230 240 249 276 280 320 322 332 336 345 368 415 420 448 460 480 483 498 552 560 581 644 664 672 690 736 805 830 840 920 960 966 996 1104 1120 1162 1245 1288 1328 1344 1380 1472 1610 1660 1680 1743 1840 1909 1932 1992 2208 2240 2324 2415 2490 2576 2656 2760 2905 3220 3320 3360 3486 3680 3818 3864 3984 4416 4648 4830 4980 5152 5312 5520 5727 5810 6440 6640 6720 6972 7360 7636 7728 7968 8715 9296 9545 9660 9960 10304 11040 11454 11620 12880 13280 13363 13944 15272 15456 15936 17430 18592 19090 19320 19920 22080 22908 23240 25760 26560 26726 27888 28635 30544 30912 34860 37184 38180 38640 39840 40089 45816 46480 51520 53452 55776 57270 61088 66815 69720 76360 77280 79680 80178 91632 92960 106904 111552 114540 122176 133630 139440 152720 154560 160356 183264 185920 200445 213808 229080 267260 278880 305440 320712 366528 400890 427616 458160 534520 557760 610880 641424 801780 855232 916320 1069040 1282848 1603560 1832640 2138080 2565696 3207120 4276160 6414240 12828480
- Sum of all divisors σ(n): 49158144
- Sum of proper divisors (its aliquot sum) s(n): 36329664
- 12828480 is an abundant number, because the sum of its proper divisors (36329664) is greater than itself. Its abundance is 23501184
Bases of 12828480
- Binary: 1100001110111111010000002
- Hexadecimal: 0xC3BF40
- Base-36: 7MYIO
Squares and roots of 12828480
- 12828480 squared (128284802) is 164569899110400
- 12828480 cubed (128284803) is 2111181659339784192000
-
The
square root of 12828480 is 3581.6867534725 -
The
cube root of 12828480 is 234.0947822619
Scales and comparisons
How big is 12828480?- 12,828,480 seconds is equal to 21 weeks, 1 day, 11 hours, 28 minutes.
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To count from 1 to 12,828,480 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 12828480 cubic inches would be around 19.5 feet tall.
Recreational maths with 12828480
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The information we have on file for 12828480 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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