120384
120,384 is an even composite number composed of four prime numbers multiplied together.
What does the number 120384 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
120384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 120384:
26 × 32 × 11 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19)See below for interesting mathematical facts about the number 120384 from the Numbermatics database.
Names of 120384
- Cardinal: 120384 can be written as One hundred twenty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.20384 × 105
Factors of 120384
Divisors of 120384
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 64 66 72 76 88 96 99 114 132 144 152 171 176 192 198 209 228 264 288 304 342 352 396 418 456 528 576 608 627 684 704 792 836 912 1056 1216 1254 1368 1584 1672 1824 1881 2112 2508 2736 3168 3344 3648 3762 5016 5472 6336 6688 7524 10032 10944 13376 15048 20064 30096 40128 60192 120384
- Sum of all divisors σ(n): 396240
- Sum of proper divisors (its aliquot sum) s(n): 275856
- 120384 is an abundant number, because the sum of its proper divisors (275856) is greater than itself. Its abundance is 155472
Bases of 120384
- Binary: 111010110010000002
- Hexadecimal: 0x1D640
- Base-36: 2KW0
Squares and roots of 120384
- 120384 squared (1203842) is 14492307456
- 120384 cubed (1203843) is 1744641940783104
-
The
square root of 120384 is 346.9639750753 -
The
cube root of 120384 is 49.3767979903
Scales and comparisons
How big is 120384?- 120,384 seconds is equal to 1 day, 9 hours, 26 minutes, 24 seconds.
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To count from 1 to 120,384 would take you about nine hours.
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 120384 cubic inches would be around 4.1 feet tall.
Recreational maths with 120384
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The information we have on file for 120384 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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