106946320
106,946,320 is an even composite number composed of six prime numbers multiplied together.
106946320 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 106946320:
24 × 5 × 13 × 17 × 23 × 263
(2 × 2 × 2 × 2 × 5 × 13 × 17 × 23 × 263)See below for interesting mathematical facts about the number 106946320 from the Numbermatics database.
Names of 106946320
- Cardinal: 106946320 can be written as One hundred six million, nine hundred forty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0694632 × 108
Factors of 106946320
Divisors of 106946320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 26 34 40 46 52 65 68 80 85 92 104 115 130 136 170 184 208 221 230 260 263 272 299 340 368 391 442 460 520 526 598 680 782 884 920 1040 1052 1105 1196 1315 1360 1495 1564 1768 1840 1955 2104 2210 2392 2630 2990 3128 3419 3536 3910 4208 4420 4471 4784 5083 5260 5980 6049 6256 6838 7820 8840 8942 10166 10520 11960 12098 13676 15640 17095 17680 17884 20332 21040 22355 23920 24196 25415 27352 30245 31280 34190 35768 40664 44710 48392 50830 54704 58123 60490 68380 71536 78637 81328 89420 96784 101660 102833 116246 120980 136760 157274 178840 203320 205666 232492 241960 273520 290615 314548 357680 393185 406640 411332 464984 483920 514165 581230 629096 786370 822664 929968 1028330 1162460 1258192 1336829 1572740 1645328 2056660 2324920 2673658 3145480 4113320 4649840 5347316 6290960 6684145 8226640 10694632 13368290 21389264 26736580 53473160 106946320
- Sum of all divisors σ(n): 296980992
- Sum of proper divisors (its aliquot sum) s(n): 190034672
- 106946320 is an abundant number, because the sum of its proper divisors (190034672) is greater than itself. Its abundance is 83088352
Bases of 106946320
- Binary: 1100101111111011111000100002
- Hexadecimal: 0x65FDF10
- Base-36: 1RO8B4
Squares and roots of 106946320
- 106946320 squared (1069463202) is 11437515361542400
- 106946320 cubed (1069463203) is 1223200177860429203968000
-
The
square root of 106946320 is 10341.4853865391 -
The
cube root of 106946320 is 474.6665360363
Scales and comparisons
How big is 106946320?- 106,946,320 seconds is equal to 3 years, 20 weeks, 5 days, 19 hours, 18 minutes, 40 seconds.
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To count from 1 to 106,946,320 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 106946320 cubic inches would be around 39.6 feet tall.
Recreational maths with 106946320
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