468000

Names of 468000

• Cardinal: 468000 can be written as Four hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 4.68 × 10⁵

Factors of 468000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 23

Divisors of 468000

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 65 72 75 78 80 90 96 100 104 117 120 125 130 144 150 156 160 180 195 200 208 225 234 240 250 260 288 300 312 325 360 375 390 400 416 450 468 480 500 520 585 600 624 650 720 750 780 800 900 936 975 1000 1040 1125 1170 1200 1248 1300 1440 1500 1560 1625 1800 1872 1950 2000 2080 2250 2340 2400 2600 2925 3000 3120 3250 3600 3744 3900 4000 4500 4680 4875 5200 5850 6000 6240 6500 7200 7800 9000 9360 9750 10400 11700 12000 13000 14625 15600 18000 18720 19500 23400 26000 29250 31200 36000 39000 46800 52000 58500 78000 93600 117000 156000 234000 468000
• Sum of all divisors σ(n): 1788696
• Sum of proper divisors (its aliquot sum) s(n): 1320696
• 468000 is an abundant number, because the sum of its proper divisors (1320696) is greater than itself. Its abundance is 852696

Bases of 468000

• Binary: 1110010010000100000₂
• Hexadecimal: 0x72420
• Base-36: A140

Squares and roots of 468000

• 468000 squared (468000²) is 219024000000
• 468000 cubed (468000³) is 102503232000000000
• The square root of 468000 is 684.1052550593
• The cube root of 468000 is 77.6393607665

Scales and comparisons

• 468,000 seconds is equal to 5 days, 10 hours.
• To count from 1 to 468,000 would take you about five days.

  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 468000 cubic inches would be around 6.5 feet tall.

Recreational maths with 468000

• 468000 backwards is 000864
• 468000 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 468000's digits is 18
• More coming soon!