420480
420,480 is an even composite number composed of four prime numbers multiplied together.
What does the number 420480 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.
420480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 420480:
27 × 32 × 5 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 73)See below for interesting mathematical facts about the number 420480 from the Numbermatics database.
Names of 420480
- Cardinal: 420480 can be written as Four hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2048 × 105
Factors of 420480
Divisors of 420480
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 73 80 90 96 120 128 144 146 160 180 192 219 240 288 292 320 360 365 384 438 480 576 584 640 657 720 730 876 960 1095 1152 1168 1314 1440 1460 1752 1920 2190 2336 2628 2880 2920 3285 3504 4380 4672 5256 5760 5840 6570 7008 8760 9344 10512 11680 13140 14016 17520 21024 23360 26280 28032 35040 42048 46720 52560 70080 84096 105120 140160 210240 420480
- Sum of all divisors σ(n): 1471860
- Sum of proper divisors (its aliquot sum) s(n): 1051380
- 420480 is an abundant number, because the sum of its proper divisors (1051380) is greater than itself. Its abundance is 630900
Bases of 420480
- Binary: 11001101010100000002
- Hexadecimal: 0x66A80
- Base-36: 90G0
Squares and roots of 420480
- 420480 squared (4204802) is 176803430400
- 420480 cubed (4204803) is 74342306414592000
-
The
square root of 420480 is 648.4442921331 -
The
cube root of 420480 is 74.9172420487
Scales and comparisons
How big is 420480?- 420,480 seconds is equal to 4 days, 20 hours, 48 minutes.
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To count from 1 to 420,480 would take you about four 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 420480 cubic inches would be around 6.2 feet tall.
Recreational maths with 420480
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The information we have on file for 420480 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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