120120
120,120 is an even composite number composed of six prime numbers multiplied together.
120120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 120120:
23 × 3 × 5 × 7 × 11 × 13
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 13)See below for interesting mathematical facts about the number 120120 from the Numbermatics database.
Names of 120120
- Cardinal: 120120 can be written as One hundred twenty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2012 × 105
Factors of 120120
Divisors of 120120
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 91 104 105 110 120 130 132 140 143 154 156 165 168 182 195 210 220 231 260 264 273 280 286 308 312 330 364 385 390 420 429 440 455 462 520 546 572 616 660 715 728 770 780 840 858 910 924 1001 1092 1144 1155 1320 1365 1430 1540 1560 1716 1820 1848 2002 2145 2184 2310 2730 2860 3003 3080 3432 3640 4004 4290 4620 5005 5460 5720 6006 8008 8580 9240 10010 10920 12012 15015 17160 20020 24024 30030 40040 60060 120120
- Sum of all divisors σ(n): 483840
- Sum of proper divisors (its aliquot sum) s(n): 363720
- 120120 is an abundant number, because the sum of its proper divisors (363720) is greater than itself. Its abundance is 243600
Bases of 120120
- Binary: 111010101001110002
- Hexadecimal: 0x1D538
- Base-36: 2KOO
Squares and roots of 120120
- 120120 squared (1201202) is 14428814400
- 120120 cubed (1201203) is 1733189185728000
-
The
square root of 120120 is 346.5833233151 -
The
cube root of 120120 is 49.3406774231
Scales and comparisons
How big is 120120?- 120,120 seconds is equal to 1 day, 9 hours, 22 minutes.
-
To count from 1 to 120,120 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 120120 cubic inches would be around 4.1 feet tall.
Recreational maths with 120120
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The information we have on file for 120120 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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