12468960
12,468,960 is an even composite number composed of five prime numbers multiplied together.
12468960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12468960:
25 × 32 × 5 × 7 × 1237
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 1237)See below for interesting mathematical facts about the number 12468960 from the Numbermatics database.
Names of 12468960
- Cardinal: 12468960 can be written as Twelve million, four hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.246896 × 107
Factors of 12468960
Divisors of 12468960
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1237 1260 1440 1680 2016 2474 2520 3360 3711 4948 5040 6185 7422 8659 9896 10080 11133 12370 14844 17318 18555 19792 22266 24740 25977 29688 34636 37110 39584 43295 44532 49480 51954 55665 59376 69272 74220 77931 86590 89064 98960 103908 111330 118752 129885 138544 148440 155862 173180 178128 197920 207816 222660 259770 277088 296880 311724 346360 356256 389655 415632 445320 519540 593760 623448 692720 779310 831264 890640 1039080 1246896 1385440 1558620 1781280 2078160 2493792 3117240 4156320 6234480 12468960
- Sum of all divisors σ(n): 48668256
- Sum of proper divisors (its aliquot sum) s(n): 36199296
- 12468960 is an abundant number, because the sum of its proper divisors (36199296) is greater than itself. Its abundance is 23730336
Bases of 12468960
- Binary: 1011111001000010111000002
- Hexadecimal: 0xBE42E0
- Base-36: 7F940
Squares and roots of 12468960
- 12468960 squared (124689602) is 155474963481600
- 12468960 cubed (124689603) is 1938611100653531136000
-
The
square root of 12468960 is 3531.1414585089 -
The
cube root of 12468960 is 231.8871825639
Scales and comparisons
How big is 12468960?- 12,468,960 seconds is equal to 20 weeks, 4 days, 7 hours, 36 minutes.
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To count from 1 to 12,468,960 would take you about thirty 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 12468960 cubic inches would be around 19.3 feet tall.
Recreational maths with 12468960
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The information we have on file for 12468960 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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