3968000
3,968,000 is an even composite number composed of three prime numbers multiplied together.
3968000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-eight divisors.
Prime factorization of 3968000:
210 × 53 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31)See below for interesting mathematical facts about the number 3968000 from the Numbermatics database.
Names of 3968000
- Cardinal: 3968000 can be written as Three million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.968 × 106
Factors of 3968000
Divisors of 3968000
- Number of divisors d(n): 88
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 256 310 320 400 496 500 512 620 640 775 800 992 1000 1024 1240 1280 1550 1600 1984 2000 2480 2560 3100 3200 3875 3968 4000 4960 5120 6200 6400 7750 7936 8000 9920 12400 12800 15500 15872 16000 19840 24800 25600 31000 31744 32000 39680 49600 62000 64000 79360 99200 124000 128000 158720 198400 248000 396800 496000 793600 992000 1984000 3968000
- Sum of all divisors σ(n): 10218624
- Sum of proper divisors (its aliquot sum) s(n): 6250624
- 3968000 is an abundant number, because the sum of its proper divisors (6250624) is greater than itself. Its abundance is 2282624
Bases of 3968000
- Binary: 11110010001100000000002
- Hexadecimal: 0x3C8C00
- Base-36: 2D1Q8
Squares and roots of 3968000
- 3968000 squared (39680002) is 15745024000000
- 3968000 cubed (39680003) is 62476255232000000000
-
The
square root of 3968000 is 1991.9839356781 -
The
cube root of 3968000 is 158.3156643873
Scales and comparisons
How big is 3968000?- 3,968,000 seconds is equal to 6 weeks, 3 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 3,968,000 would take you about nine weeks!
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 3968000 cubic inches would be around 13.2 feet tall.
Recreational maths with 3968000
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The information we have on file for 3968000 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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