1188200

1,188,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 1188200 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

1188200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 1188200:

2³ × 5² × 13 × 457

(2 × 2 × 2 × 5 × 5 × 13 × 457)

See below for interesting mathematical facts about the number 1188200 from the Numbermatics database.

Names of 1188200

Cardinal: 1188200 can be written as One million, one hundred eighty-eight thousand, two hundred.

Scientific notation

Scientific notation: 1.1882 × 10⁶

Factors of 1188200

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 477

Divisors of 1188200

Number of divisors d(n): 48
Complete list of divisors:
1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 457 520 650 914 1300 1828 2285 2600 3656 4570 5941 9140 11425 11882 18280 22850 23764 29705 45700 47528 59410 91400 118820 148525 237640 297050 594100 1188200
Sum of all divisors σ(n): 2981580
Sum of proper divisors (its aliquot sum) s(n): 1793380
1188200 is an abundant number, because the sum of its proper divisors (1793380) is greater than itself. Its abundance is 605180

Bases of 1188200

Binary: 100100010000101101000₂
Hexadecimal: 0x122168
Base-36: PGTK

Squares and roots of 1188200

1188200 squared (1188200²) is 1411819240000
1188200 cubed (1188200³) is 1677523620968000000
The square root of 1188200 is 1090.0458705943
The cube root of 1188200 is 105.9163930737

Scales and comparisons

How big is 1188200?

1,188,200 seconds is equal to 1 week, 6 days, 18 hours, 3 minutes, 20 seconds.
To count from 1 to 1,188,200 would take you about two 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 1188200 cubic inches would be around 8.8 feet tall.

Recreational maths with 1188200

1188200 backwards is 0028811
1188200 is a Harshad number.
The number of decimal digits it has is: 7
The sum of 1188200's digits is 20
More coming soon!

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The information we have on file for 1188200 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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