5760

Names of 5760

• Cardinal: 5760 can be written as Five thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 5.76 × 10³

Factors of 5760

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

Divisors of 5760

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760
• Sum of all divisors σ(n): 19890
• Sum of proper divisors (its aliquot sum) s(n): 14130
• 5760 is an abundant number, because the sum of its proper divisors (14130) is greater than itself. Its abundance is 8370

Bases of 5760

• Binary: 1011010000000₂
• Hexadecimal: 0x1680
• Base-36: 4G0

Squares and roots of 5760

• 5760 squared (5760²) is 33177600
• 5760 cubed (5760³) is 191102976000
• The square root of 5760 is 75.8946638441
• The cube root of 5760 is 17.9256189863

Scales and comparisons

• 5,760 seconds is equal to 1 hour, 36 minutes.
• To count from 1 to 5,760 would take you about thirty-six 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 5760 cubic inches would be around 1.5 feet tall.

Recreational maths with 5760

• 5760 backwards is 0675
• 5760 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5760's digits is 18
• More coming soon!