135084320
135,084,320 is an even composite number composed of five prime numbers multiplied together.
135084320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 135084320:
25 × 5 × 7 × 29 × 4159
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 29 × 4159)See below for interesting mathematical facts about the number 135084320 from the Numbermatics database.
Names of 135084320
- Cardinal: 135084320 can be written as One hundred thirty-five million, eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3508432 × 108
Factors of 135084320
Divisors of 135084320
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4159 4640 6496 8120 8318 16240 16636 20795 29113 32480 33272 41590 58226 66544 83180 116452 120611 133088 145565 166360 232904 241222 291130 332720 465808 482444 582260 603055 665440 844277 931616 964888 1164520 1206110 1688554 1929776 2329040 2412220 3377108 3859552 4221385 4658080 4824440 6754216 8442770 9648880 13508432 16885540 19297760 27016864 33771080 67542160 135084320
- Sum of all divisors σ(n): 377395200
- Sum of proper divisors (its aliquot sum) s(n): 242310880
- 135084320 is an abundant number, because the sum of its proper divisors (242310880) is greater than itself. Its abundance is 107226560
Bases of 135084320
- Binary: 10000000110100111001001000002
- Hexadecimal: 0x80D3920
- Base-36: 28FBQ8
Squares and roots of 135084320
- 135084320 squared (1350843202) is 18247773509862400
- 135084320 cubed (1350843203) is 2464988076093775597568000
-
The
square root of 135084320 is 11622.5780272709 -
The
cube root of 135084320 is 513.0995656055
Scales and comparisons
How big is 135084320?- 135,084,320 seconds is equal to 4 years, 15 weeks, 2 days, 11 hours, 25 minutes, 20 seconds.
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To count from 1 to 135,084,320 would take you about six 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 135084320 cubic inches would be around 42.8 feet tall.
Recreational maths with 135084320
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