9972000
9,972,000 is an even composite number composed of four prime numbers multiplied together.
9972000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 9972000:
25 × 32 × 53 × 277
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 277)See below for interesting mathematical facts about the number 9972000 from the Numbermatics database.
Names of 9972000
- Cardinal: 9972000 can be written as Nine million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 9.972 × 106
Factors of 9972000
Divisors of 9972000
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 277 288 300 360 375 400 450 480 500 554 600 720 750 800 831 900 1000 1108 1125 1200 1385 1440 1500 1662 1800 2000 2216 2250 2400 2493 2770 3000 3324 3600 4000 4155 4432 4500 4986 5540 6000 6648 6925 7200 8310 8864 9000 9972 11080 12000 12465 13296 13850 16620 18000 19944 20775 22160 24930 26592 27700 33240 34625 36000 39888 41550 44320 49860 55400 62325 66480 69250 79776 83100 99720 103875 110800 124650 132960 138500 166200 199440 207750 221600 249300 277000 311625 332400 398880 415500 498600 554000 623250 664800 831000 997200 1108000 1246500 1662000 1994400 2493000 3324000 4986000 9972000
- Sum of all divisors σ(n): 35518392
- Sum of proper divisors (its aliquot sum) s(n): 25546392
- 9972000 is an abundant number, because the sum of its proper divisors (25546392) is greater than itself. Its abundance is 15574392
Bases of 9972000
- Binary: 1001100000101001001000002
- Hexadecimal: 0x982920
- Base-36: 5XQG0
Squares and roots of 9972000
- 9972000 squared (99720002) is 99440784000000
- 9972000 cubed (99720003) is 991623498048000000000
-
The
square root of 9972000 is 3157.8473680657 -
The
cube root of 9972000 is 215.2422004647
Scales and comparisons
How big is 9972000?- 9,972,000 seconds is equal to 16 weeks, 3 days, 10 hours.
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To count from 1 to 9,972,000 would take you about twenty-four 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 9972000 cubic inches would be around 17.9 feet tall.
Recreational maths with 9972000
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The information we have on file for 9972000 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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