42120
42,120 is an even composite number composed of four prime numbers multiplied together.
42120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 42120:
23 × 34 × 5 × 13
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13)See below for interesting mathematical facts about the number 42120 from the Numbermatics database.
Names of 42120
- Cardinal: 42120 can be written as Forty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.212 × 104
Factors of 42120
Divisors of 42120
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120
- Sum of all divisors σ(n): 152460
- Sum of proper divisors (its aliquot sum) s(n): 110340
- 42120 is an abundant number, because the sum of its proper divisors (110340) is greater than itself. Its abundance is 68220
Bases of 42120
- Binary: 10100100100010002
- Hexadecimal: 0xA488
- Base-36: WI0
Squares and roots of 42120
- 42120 squared (421202) is 1774094400
- 42120 cubed (421203) is 74724856128000
-
The
square root of 42120 is 205.2315765179 -
The
cube root of 42120 is 34.7933399859
Scales and comparisons
How big is 42120?- 42,120 seconds is equal to 11 hours, 42 minutes.
-
To count from 1 to 42,120 would take you about eleven 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 42120 cubic inches would be around 2.9 feet tall.
Recreational maths with 42120
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