13286400
13,286,400 is an even composite number composed of four prime numbers multiplied together.
13286400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 13286400:
210 × 3 × 52 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 173)See below for interesting mathematical facts about the number 13286400 from the Numbermatics database.
Names of 13286400
- Cardinal: 13286400 can be written as Thirteen million, two hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.32864 × 107
Factors of 13286400
Divisors of 13286400
- Number of divisors d(n): 132
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 173 192 200 240 256 300 320 346 384 400 480 512 519 600 640 692 768 800 865 960 1024 1038 1200 1280 1384 1536 1600 1730 1920 2076 2400 2560 2595 2768 3072 3200 3460 3840 4152 4325 4800 5120 5190 5536 6400 6920 7680 8304 8650 9600 10380 11072 12800 12975 13840 15360 16608 17300 19200 20760 22144 25600 25950 27680 33216 34600 38400 41520 44288 51900 55360 66432 69200 76800 83040 88576 103800 110720 132864 138400 166080 177152 207600 221440 265728 276800 332160 415200 442880 531456 553600 664320 830400 885760 1107200 1328640 1660800 2214400 2657280 3321600 4428800 6643200 13286400
- Sum of all divisors σ(n): 44166072
- Sum of proper divisors (its aliquot sum) s(n): 30879672
- 13286400 is an abundant number, because the sum of its proper divisors (30879672) is greater than itself. Its abundance is 17593272
Bases of 13286400
- Binary: 1100101010111100000000002
- Hexadecimal: 0xCABC00
- Base-36: 7WRUO
Squares and roots of 13286400
- 13286400 squared (132864002) is 176528424960000
- 13286400 cubed (132864003) is 2345427265388544000000
-
The
square root of 13286400 is 3645.0514399663 -
The
cube root of 13286400 is 236.8476651067
Scales and comparisons
How big is 13286400?- 13,286,400 seconds is equal to 21 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 13,286,400 would take you about thirty-two 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 13286400 cubic inches would be around 19.7 feet tall.
Recreational maths with 13286400
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The information we have on file for 13286400 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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