13824000

Names of 13824000

• Cardinal: 13824000 can be written as Thirteen million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.3824 × 10⁷

Factors of 13824000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 10

Divisors of 13824000

• Number of divisors d(n): 208
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3072 3200 3375 3456 3600 3840 4000 4096 4320 4500 4608 4800 5120 5400 5760 6000 6144 6400 6750 6912 7200 7680 8000 8640 9000 9216 9600 10240 10800 11520 12000 12288 12800 13500 13824 14400 15360 16000 17280 18000 18432 19200 20480 21600 23040 24000 25600 27000 27648 28800 30720 32000 34560 36000 36864 38400 43200 46080 48000 51200 54000 55296 57600 61440 64000 69120 72000 76800 86400 92160 96000 102400 108000 110592 115200 128000 138240 144000 153600 172800 184320 192000 216000 230400 256000 276480 288000 307200 345600 384000 432000 460800 512000 552960 576000 691200 768000 864000 921600 1152000 1382400 1536000 1728000 2304000 2764800 3456000 4608000 6912000 13824000
• Sum of all divisors σ(n): 51111840
• Sum of proper divisors (its aliquot sum) s(n): 37287840
• 13824000 is an abundant number, because the sum of its proper divisors (37287840) is greater than itself. Its abundance is 23463840

Bases of 13824000

• Binary: 110100101111000000000000₂
• Hexadecimal: 0xD2F000
• Base-36: 88AO0

Squares and roots of 13824000

• 13824000 squared (13824000²) is 191102976000000
• 13824000 cubed (13824000³) is 2641807540224000000000
• The square root of 13824000 is 3718.0640123591
• 13824000 is a perfect cube number. Its cube root is 240

Scales and comparisons

• 13,824,000 seconds is equal to 22 weeks, 6 days.
• To count from 1 to 13,824,000 would take you about thirty-four weeks!

  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 13824000 cubic inches would be around 20 feet tall.

Recreational maths with 13824000

• 13824000 backwards is 00042831
• 13824000 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 13824000's digits is 18
• More coming soon!