67968000
67,968,000 is an even composite number composed of four prime numbers multiplied together.
67968000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 67968000:
210 × 32 × 53 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 59)See below for interesting mathematical facts about the number 67968000 from the Numbermatics database.
Names of 67968000
- Cardinal: 67968000 can be written as Sixty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 6.7968 × 107
Factors of 67968000
Divisors of 67968000
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 59 60 64 72 75 80 90 96 100 118 120 125 128 144 150 160 177 180 192 200 225 236 240 250 256 288 295 300 320 354 360 375 384 400 450 472 480 500 512 531 576 590 600 640 708 720 750 768 800 885 900 944 960 1000 1024 1062 1125 1152 1180 1200 1280 1416 1440 1475 1500 1536 1600 1770 1800 1888 1920 2000 2124 2250 2304 2360 2400 2560 2655 2832 2880 2950 3000 3072 3200 3540 3600 3776 3840 4000 4248 4425 4500 4608 4720 4800 5120 5310 5664 5760 5900 6000 6400 7080 7200 7375 7552 7680 8000 8496 8850 9000 9216 9440 9600 10620 11328 11520 11800 12000 12800 13275 14160 14400 14750 15104 15360 16000 16992 17700 18000 18880 19200 21240 22125 22656 23040 23600 24000 25600 26550 28320 28800 29500 30208 32000 33984 35400 36000 37760 38400 42480 44250 45312 46080 47200 48000 53100 56640 57600 59000 60416 64000 66375 67968 70800 72000 75520 76800 84960 88500 90624 94400 96000 106200 113280 115200 118000 128000 132750 135936 141600 144000 151040 169920 177000 181248 188800 192000 212400 226560 230400 236000 265500 271872 283200 288000 302080 339840 354000 377600 384000 424800 453120 472000 531000 543744 566400 576000 679680 708000 755200 849600 906240 944000 1062000 1132800 1152000 1359360 1416000 1510400 1699200 1888000 2124000 2265600 2718720 2832000 3398400 3776000 4248000 4531200 5664000 6796800 7552000 8496000 11328000 13593600 16992000 22656000 33984000 67968000
- Sum of all divisors σ(n): 249078960
- Sum of proper divisors (its aliquot sum) s(n): 181110960
- 67968000 is an abundant number, because the sum of its proper divisors (181110960) is greater than itself. Its abundance is 113142960
Bases of 67968000
- Binary: 1000000110100011100000000002
- Hexadecimal: 0x40D1C00
- Base-36: 14GSG0
Squares and roots of 67968000
- 67968000 squared (679680002) is 4619649024000000
- 67968000 cubed (679680003) is 313988304863232000000000
-
The
square root of 67968000 is 8244.2707379125 -
The
cube root of 67968000 is 408.1014741835
Scales and comparisons
How big is 67968000?- 67,968,000 seconds is equal to 2 years, 8 weeks, 2 days, 16 hours.
-
To count from 1 to 67,968,000 would take you about three years!
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 67968000 cubic inches would be around 34 feet tall.
Recreational maths with 67968000
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The information we have on file for 67968000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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