12832128
12,832,128 is an even composite number composed of four prime numbers multiplied together.
12832128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 12832128:
27 × 33 × 47 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 47 × 79)See below for interesting mathematical facts about the number 12832128 from the Numbermatics database.
Names of 12832128
- Cardinal: 12832128 can be written as Twelve million, eight hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.2832128 × 107
Factors of 12832128
Divisors of 12832128
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 79 94 96 108 128 141 144 158 188 192 216 237 282 288 316 376 384 423 432 474 564 576 632 711 752 846 864 948 1128 1152 1264 1269 1422 1504 1692 1728 1896 2133 2256 2528 2538 2844 3008 3384 3456 3713 3792 4266 4512 5056 5076 5688 6016 6768 7426 7584 8532 9024 10112 10152 11139 11376 13536 14852 15168 17064 18048 20304 22278 22752 27072 29704 30336 33417 34128 40608 44556 45504 54144 59408 66834 68256 81216 89112 91008 100251 118816 133668 136512 162432 178224 200502 237632 267336 273024 356448 401004 475264 534672 712896 802008 1069344 1425792 1604016 2138688 3208032 4277376 6416064 12832128
- Sum of all divisors σ(n): 39168000
- Sum of proper divisors (its aliquot sum) s(n): 26335872
- 12832128 is an abundant number, because the sum of its proper divisors (26335872) is greater than itself. Its abundance is 13503744
Bases of 12832128
- Binary: 1100001111001101100000002
- Hexadecimal: 0xC3CD80
- Base-36: 7N1C0
Squares and roots of 12832128
- 12832128 squared (128321282) is 164663509008384
- 12832128 cubed (128321283) is 2112983224524736561152
-
The
square root of 12832128 is 3582.1959745385 -
The
cube root of 12832128 is 234.1169697913
Scales and comparisons
How big is 12832128?- 12,832,128 seconds is equal to 21 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 12,832,128 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 12832128 cubic inches would be around 19.5 feet tall.
Recreational maths with 12832128
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The information we have on file for 12832128 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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