10800

Names of 10800

• Cardinal: 10800 can be written as Ten thousand, eight hundred.

Scientific notation

• Scientific notation: 1.08 × 10⁴

Factors of 10800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

Divisors of 10800

• Number of divisors d(n): 60
• 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 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800
• Sum of all divisors σ(n): 38440
• Sum of proper divisors (its aliquot sum) s(n): 27640
• 10800 is an abundant number, because the sum of its proper divisors (27640) is greater than itself. Its abundance is 16840

Bases of 10800

• Binary: 10101000110000₂
• Hexadecimal: 0x2A30
• Base-36: 8C0

Squares and roots of 10800

• 10800 squared (10800²) is 116640000
• 10800 cubed (10800³) is 1259712000000
• The square root of 10800 is 103.9230484541
• The cube root of 10800 is 22.1041889917

Scales and comparisons

• 10,800 seconds is equal to 3 hours.
• To count from 1 to 10,800 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 10800 cubic inches would be around 1.8 feet tall.

Recreational maths with 10800

• 10800 backwards is 00801
• 10800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10800's digits is 9
• More coming soon!