67108480
67,108,480 is an even composite number composed of five prime numbers multiplied together.
67108480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 67108480:
27 × 5 × 23 × 47 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 47 × 97)See below for interesting mathematical facts about the number 67108480 from the Numbermatics database.
Names of 67108480
- Cardinal: 67108480 can be written as Sixty-seven million, one hundred eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 6.710848 × 107
Factors of 67108480
Divisors of 67108480
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 32 40 46 47 64 80 92 94 97 115 128 160 184 188 194 230 235 320 368 376 388 460 470 485 640 736 752 776 920 940 970 1081 1472 1504 1552 1840 1880 1940 2162 2231 2944 3008 3104 3680 3760 3880 4324 4462 4559 5405 6016 6208 7360 7520 7760 8648 8924 9118 10810 11155 12416 14720 15040 15520 17296 17848 18236 21620 22310 22795 30080 31040 34592 35696 36472 43240 44620 45590 62080 69184 71392 72944 86480 89240 91180 104857 138368 142784 145888 172960 178480 182360 209714 285568 291776 345920 356960 364720 419428 524285 583552 691840 713920 729440 838856 1048570 1427840 1458880 1677712 2097140 2917760 3355424 4194280 6710848 8388560 13421696 16777120 33554240 67108480
- Sum of all divisors σ(n): 172730880
- Sum of proper divisors (its aliquot sum) s(n): 105622400
- 67108480 is an abundant number, because the sum of its proper divisors (105622400) is greater than itself. Its abundance is 38513920
Bases of 67108480
- Binary: 111111111111111110100000002
- Hexadecimal: 0x3FFFE80
- Base-36: 13YD8G
Squares and roots of 67108480
- 67108480 squared (671084802) is 4503548087910400
- 67108480 cubed (671084803) is 302226266786573320192000
-
The
square root of 67108480 is 8191.9765624665 -
The
cube root of 67108480 is 406.3738942043
Scales and comparisons
How big is 67108480?- 67,108,480 seconds is equal to 2 years, 6 weeks, 6 days, 17 hours, 14 minutes, 40 seconds.
-
To count from 1 to 67,108,480 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 67108480 cubic inches would be around 33.9 feet tall.
Recreational maths with 67108480
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