106168320
106,168,320 is an even composite number composed of three prime numbers multiplied together.
106168320 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred ninety divisors.
Prime factorization of 106168320:
218 × 34 × 5
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5)See below for interesting mathematical facts about the number 106168320 from the Numbermatics database.
Names of 106168320
- Cardinal: 106168320 can be written as One hundred six million, one hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0616832 × 108
Factors of 106168320
Divisors of 106168320
- Number of divisors d(n): 190
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 256 270 288 320 324 360 384 405 432 480 512 540 576 640 648 720 768 810 864 960 1024 1080 1152 1280 1296 1440 1536 1620 1728 1920 2048 2160 2304 2560 2592 2880 3072 3240 3456 3840 4096 4320 4608 5120 5184 5760 6144 6480 6912 7680 8192 8640 9216 10240 10368 11520 12288 12960 13824 15360 16384 17280 18432 20480 20736 23040 24576 25920 27648 30720 32768 34560 36864 40960 41472 46080 49152 51840 55296 61440 65536 69120 73728 81920 82944 92160 98304 103680 110592 122880 131072 138240 147456 163840 165888 184320 196608 207360 221184 245760 262144 276480 294912 327680 331776 368640 393216 414720 442368 491520 552960 589824 655360 663552 737280 786432 829440 884736 983040 1105920 1179648 1310720 1327104 1474560 1658880 1769472 1966080 2211840 2359296 2654208 2949120 3317760 3538944 3932160 4423680 5308416 5898240 6635520 7077888 8847360 10616832 11796480 13271040 17694720 21233664 26542080 35389440 53084160 106168320
- Sum of all divisors σ(n): 380632362
- Sum of proper divisors (its aliquot sum) s(n): 274464042
- 106168320 is an abundant number, because the sum of its proper divisors (274464042) is greater than itself. Its abundance is 168295722
Bases of 106168320
- Binary: 1100101010000000000000000002
- Hexadecimal: 0x6540000
- Base-36: 1R7K00
Squares and roots of 106168320
- 106168320 squared (1061683202) is 11271712171622400
- 106168320 cubed (1061683203) is 1196698744784701882368000
-
The
square root of 106168320 is 10303.8012403191 -
The
cube root of 106168320 is 473.5127182715
Scales and comparisons
How big is 106168320?- 106,168,320 seconds is equal to 3 years, 19 weeks, 3 days, 19 hours, 12 minutes.
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To count from 1 to 106,168,320 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 106168320 cubic inches would be around 39.5 feet tall.
Recreational maths with 106168320
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