126

Names of 126

• Cardinal: 126 can be written as One hundred twenty-six.

Scientific notation

• Scientific notation: 1.26 × 10²

Factors of 126

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 12

Divisors of 126

• Number of divisors d(n): 12
• Complete list of divisors:
  1 2 3 6 7 9 14 18 21 42 63 126
• Sum of all divisors σ(n): 312
• Sum of proper divisors (its aliquot sum) s(n): 186
• 126 is an abundant number, because the sum of its proper divisors (186) is greater than itself. Its abundance is 60

Bases of 126

• Binary: 1111110₂
• Hexadecimal: 0x7E
• Base-36: 3I

Squares and roots of 126

• 126 squared (126²) is 15876
• 126 cubed (126³) is 2000376
• The square root of 126 is 11.2249721603
• The cube root of 126 is 5.0132979349

Scales and comparisons

• 126 seconds is equal to 2 minutes, 6 seconds.
• To count from 1 to 126 would take you about three seconds.

  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 126 cubic inches would be around 0.4 feet tall.

Recreational maths with 126

• 126 backwards is 621
• 126 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 126's digits is 9
• More coming soon!