97200
97,200 is an even composite number composed of three prime numbers multiplied together.
97200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 97200:
24 × 35 × 52
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5)See below for interesting mathematical facts about the number 97200 from the Numbermatics database.
Names of 97200
- Cardinal: 97200 can be written as Ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 9.72 × 104
Factors of 97200
Divisors of 97200
- Number of divisors d(n): 90
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 243 270 300 324 360 400 405 432 450 486 540 600 648 675 720 810 900 972 1080 1200 1215 1296 1350 1620 1800 1944 2025 2160 2430 2700 3240 3600 3888 4050 4860 5400 6075 6480 8100 9720 10800 12150 16200 19440 24300 32400 48600 97200
- Sum of all divisors σ(n): 349804
- Sum of proper divisors (its aliquot sum) s(n): 252604
- 97200 is an abundant number, because the sum of its proper divisors (252604) is greater than itself. Its abundance is 155404
Bases of 97200
- Binary: 101111011101100002
- Hexadecimal: 0x17BB0
- Base-36: 2300
Squares and roots of 97200
- 97200 squared (972002) is 9447840000
- 97200 cubed (972003) is 918330048000000
-
The
square root of 97200 is 311.7691453623 -
The
cube root of 97200 is 45.9785659437
Scales and comparisons
How big is 97200?- 97,200 seconds is equal to 1 day, 3 hours.
-
To count from 1 to 97,200 would take you about three 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 97200 cubic inches would be around 3.8 feet tall.
Recreational maths with 97200
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