106397200
106,397,200 is an even composite number composed of six prime numbers multiplied together.
106397200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 106397200:
24 × 52 × 7 × 13 × 37 × 79
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 37 × 79)See below for interesting mathematical facts about the number 106397200 from the Numbermatics database.
Names of 106397200
- Cardinal: 106397200 can be written as One hundred six million, three hundred ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.063972 × 108
Factors of 106397200
Divisors of 106397200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 37 40 50 52 56 65 70 74 79 80 91 100 104 112 130 140 148 158 175 182 185 200 208 259 260 280 296 316 325 350 364 370 395 400 455 481 518 520 553 560 592 632 650 700 728 740 790 910 925 962 1027 1036 1040 1106 1264 1295 1300 1400 1456 1480 1580 1820 1850 1924 1975 2054 2072 2212 2275 2405 2590 2600 2765 2800 2923 2960 3160 3367 3640 3700 3848 3950 4108 4144 4424 4550 4810 5135 5180 5200 5530 5846 6320 6475 6734 7189 7280 7400 7696 7900 8216 8848 9100 9620 10270 10360 11060 11692 12025 12950 13468 13825 14378 14615 14800 15800 16432 16835 18200 19240 20461 20540 20720 22120 23384 24050 25675 25900 26936 27650 28756 29230 31600 33670 35945 36400 37999 38480 40922 41080 44240 46768 48100 51350 51800 53872 55300 57512 58460 67340 71890 73075 75998 81844 82160 84175 96200 102305 102700 103600 110600 115024 116920 134680 143780 146150 151996 163688 168350 179725 189995 192400 204610 205400 221200 233840 265993 269360 287560 292300 303992 327376 336700 359450 379990 409220 410800 511525 531986 575120 584600 607984 673400 718900 759980 818440 949975 1023050 1063972 1169200 1329965 1346800 1437800 1519960 1636880 1899950 2046100 2127944 2659930 2875600 3039920 3799900 4092200 4255888 5319860 6649825 7599800 8184400 10639720 13299650 15199600 21279440 26599300 53198600 106397200
- Sum of all divisors σ(n): 327201280
- Sum of proper divisors (its aliquot sum) s(n): 220804080
- 106397200 is an abundant number, because the sum of its proper divisors (220804080) is greater than itself. Its abundance is 114406880
Bases of 106397200
- Binary: 1100101011101111110000100002
- Hexadecimal: 0x6577E10
- Base-36: 1RCGLS
Squares and roots of 106397200
- 106397200 squared (1063972002) is 11320364167840000
- 106397200 cubed (1063972003) is 1204455050438506048000000
-
The
square root of 106397200 is 10314.9018415107 -
The
cube root of 106397200 is 473.8527437555
Scales and comparisons
How big is 106397200?- 106,397,200 seconds is equal to 3 years, 19 weeks, 6 days, 10 hours, 46 minutes, 40 seconds.
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To count from 1 to 106,397,200 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 106397200 cubic inches would be around 39.5 feet tall.
Recreational maths with 106397200
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The information we have on file for 106397200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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