106981680
106,981,680 is an even composite number composed of six prime numbers multiplied together.
106981680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 106981680:
24 × 3 × 5 × 13 × 17 × 2017
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 2017)See below for interesting mathematical facts about the number 106981680 from the Numbermatics database.
Names of 106981680
- Cardinal: 106981680 can be written as One hundred six million, nine hundred eighty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.0698168 × 108
Factors of 106981680
Divisors of 106981680
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2017 2040 2210 2652 3120 3315 3536 4034 4080 4420 5304 6051 6630 8068 8840 10085 10608 12102 13260 16136 17680 20170 24204 26221 26520 30255 32272 34289 40340 48408 52442 53040 60510 68578 78663 80680 96816 102867 104884 121020 131105 137156 157326 161360 171445 205734 209768 242040 262210 274312 314652 342890 393315 411468 419536 445757 484080 514335 524420 548624 629304 685780 786630 822936 891514 1028670 1048840 1258608 1337271 1371560 1573260 1645872 1783028 2057340 2097680 2228785 2674542 2743120 3146520 3566056 4114680 4457570 5349084 6293040 6686355 7132112 8229360 8915140 10698168 13372710 17830280 21396336 26745420 35660560 53490840 106981680
- Sum of all divisors σ(n): 378350784
- Sum of proper divisors (its aliquot sum) s(n): 271369104
- 106981680 is an abundant number, because the sum of its proper divisors (271369104) is greater than itself. Its abundance is 164387424
Bases of 106981680
- Binary: 1100110000001101001001100002
- Hexadecimal: 0x6606930
- Base-36: 1ROZLC
Squares and roots of 106981680
- 106981680 squared (1069816802) is 11445079855622400
- 106981680 cubed (1069816803) is 1224413870688641797632000
-
The
square root of 106981680 is 10343.1948642573 -
The
cube root of 106981680 is 474.7188437711
Scales and comparisons
How big is 106981680?- 106,981,680 seconds is equal to 3 years, 20 weeks, 6 days, 5 hours, 8 minutes.
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To count from 1 to 106,981,680 would take you about five 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 106981680 cubic inches would be around 39.6 feet tall.
Recreational maths with 106981680
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