10080

Names of 10080

• Cardinal: 10080 can be written as Ten thousand and eighty.

Scientific notation

• Scientific notation: 1.008 × 10⁴

Factors of 10080

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 17

Divisors of 10080

• Number of divisors d(n): 72
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080
• Sum of all divisors σ(n): 39312
• Sum of proper divisors (its aliquot sum) s(n): 29232
• 10080 is an abundant number, because the sum of its proper divisors (29232) is greater than itself. Its abundance is 19152

Bases of 10080

• Binary: 10011101100000₂
• Hexadecimal: 0x2760
• Base-36: 7S0

Squares and roots of 10080

• 10080 squared (10080²) is 101606400
• 10080 cubed (10080³) is 1024192512000
• The square root of 10080 is 100.3992031841
• The cube root of 10080 is 21.6016459653

Scales and comparisons

• 10,080 seconds is equal to 2 hours, 48 minutes.
• To count from 1 to 10,080 would take you about two 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 10080 cubic inches would be around 1.8 feet tall.

Recreational maths with 10080

• 10080 backwards is 08001
• 10080 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10080's digits is 9
• More coming soon!