242880
242,880 is an even composite number composed of five prime numbers multiplied together.
What does the number 242880 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
242880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 242880:
26 × 3 × 5 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 23)See below for interesting mathematical facts about the number 242880 from the Numbermatics database.
Names of 242880
- Cardinal: 242880 can be written as Two hundred forty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 2.4288 × 105
Factors of 242880
Divisors of 242880
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 32 33 40 44 46 48 55 60 64 66 69 80 88 92 96 110 115 120 132 138 160 165 176 184 192 220 230 240 253 264 276 320 330 345 352 368 440 460 480 506 528 552 660 690 704 736 759 880 920 960 1012 1056 1104 1265 1320 1380 1472 1518 1760 1840 2024 2112 2208 2530 2640 2760 3036 3520 3680 3795 4048 4416 5060 5280 5520 6072 7360 7590 8096 10120 10560 11040 12144 15180 16192 20240 22080 24288 30360 40480 48576 60720 80960 121440 242880
- Sum of all divisors σ(n): 877824
- Sum of proper divisors (its aliquot sum) s(n): 634944
- 242880 is an abundant number, because the sum of its proper divisors (634944) is greater than itself. Its abundance is 392064
Bases of 242880
- Binary: 1110110100110000002
- Hexadecimal: 0x3B4C0
- Base-36: 57EO
Squares and roots of 242880
- 242880 squared (2428802) is 58990694400
- 242880 cubed (2428803) is 14327659855872000
-
The
square root of 242880 is 492.8285706003 -
The
cube root of 242880 is 62.3922409813
Scales and comparisons
How big is 242880?- 242,880 seconds is equal to 2 days, 19 hours, 28 minutes.
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To count from 1 to 242,880 would take you about two days.
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 242880 cubic inches would be around 5.2 feet tall.
Recreational maths with 242880
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The information we have on file for 242880 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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