1800

Names of 1800

• Cardinal: 1800 can be written as One thousand, eight hundred.

Scientific notation

• Scientific notation: 1.8 × 10³

Factors of 1800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

Divisors of 1800

• Number of divisors d(n): 36
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800
• Sum of all divisors σ(n): 6045
• Sum of proper divisors (its aliquot sum) s(n): 4245
• 1800 is an abundant number, because the sum of its proper divisors (4245) is greater than itself. Its abundance is 2445

Bases of 1800

• Binary: 11100001000₂
• Hexadecimal: 0x708
• Base-36: 1E0

Squares and roots of 1800

• 1800 squared (1800²) is 3240000
• 1800 cubed (1800³) is 5832000000
• The square root of 1800 is 42.4264068711
• The cube root of 1800 is 12.1644039911

Scales and comparisons

• 1,800 seconds is equal to 30 minutes.
• To count from 1 to 1,800 would take you about thirty minutes.

  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 1800 cubic inches would be around 1 feet tall.

Recreational maths with 1800

• 1800 backwards is 0081
• 1800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1800's digits is 9
• More coming soon!