13680

Names of 13680

• Cardinal: 13680 can be written as Thirteen thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.368 × 10⁴

Factors of 13680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 29

Divisors of 13680

• Number of divisors d(n): 60
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680
• Sum of all divisors σ(n): 48360
• Sum of proper divisors (its aliquot sum) s(n): 34680
• 13680 is an abundant number, because the sum of its proper divisors (34680) is greater than itself. Its abundance is 21000

Bases of 13680

• Binary: 11010101110000₂
• Hexadecimal: 0x3570
• Base-36: AK0

Squares and roots of 13680

• 13680 squared (13680²) is 187142400
• 13680 cubed (13680³) is 2560108032000
• The square root of 13680 is 116.9615321377
• The cube root of 13680 is 23.9163756287

Scales and comparisons

• 13,680 seconds is equal to 3 hours, 48 minutes.
• To count from 1 to 13,680 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 13680 cubic inches would be around 2 feet tall.

Recreational maths with 13680

• 13680 backwards is 08631
• 13680 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13680's digits is 18
• More coming soon!