31968

Names of 31968

• Cardinal: 31968 can be written as Thirty-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1968 × 10⁴

Factors of 31968

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 42

Divisors of 31968

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968
• Sum of all divisors σ(n): 95760
• Sum of proper divisors (its aliquot sum) s(n): 63792
• 31968 is an abundant number, because the sum of its proper divisors (63792) is greater than itself. Its abundance is 31824

Bases of 31968

• Binary: 111110011100000₂
• Hexadecimal: 0x7CE0
• Base-36: OO0

Squares and roots of 31968

• 31968 squared (31968²) is 1021953024
• 31968 cubed (31968³) is 32669794271232
• The square root of 31968 is 178.7959731089
• The cube root of 31968 is 31.7374348361

Scales and comparisons

• 31,968 seconds is equal to 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 31,968 would take you about eight 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 31968 cubic inches would be around 2.6 feet tall.

Recreational maths with 31968

• 31968 backwards is 86913
• 31968 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 31968's digits is 27
• More coming soon!