106771200
106,771,200 is an even composite number composed of five prime numbers multiplied together.
106771200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 106771200:
28 × 3 × 52 × 67 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 67 × 83)See below for interesting mathematical facts about the number 106771200 from the Numbermatics database.
Names of 106771200
- Cardinal: 106771200 can be written as One hundred six million, seven hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.067712 × 108
Factors of 106771200
Divisors of 106771200
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 83 96 100 120 128 134 150 160 166 192 200 201 240 249 256 268 300 320 332 335 384 400 402 415 480 498 536 600 640 664 670 768 800 804 830 960 996 1005 1072 1200 1245 1280 1328 1340 1600 1608 1660 1675 1920 1992 2010 2075 2144 2400 2490 2656 2680 3200 3216 3320 3350 3840 3984 4020 4150 4288 4800 4980 5025 5312 5360 5561 6225 6400 6432 6640 6700 7968 8040 8300 8576 9600 9960 10050 10624 10720 11122 12450 12864 13280 13400 15936 16080 16600 16683 17152 19200 19920 20100 21248 21440 22244 24900 25728 26560 26800 27805 31872 32160 33200 33366 39840 40200 42880 44488 49800 51456 53120 53600 55610 63744 64320 66400 66732 79680 80400 83415 85760 88976 99600 106240 107200 111220 128640 132800 133464 139025 159360 160800 166830 177952 199200 214400 222440 257280 265600 266928 278050 318720 321600 333660 355904 398400 417075 428800 444880 531200 533856 556100 643200 667320 711808 796800 834150 889760 1067712 1112200 1286400 1334640 1423616 1593600 1668300 1779520 2135424 2224400 2669280 3336600 3559040 4270848 4448800 5338560 6673200 7118080 8897600 10677120 13346400 17795200 21354240 26692800 35590400 53385600 106771200
- Sum of all divisors σ(n): 361935168
- Sum of proper divisors (its aliquot sum) s(n): 255163968
- 106771200 is an abundant number, because the sum of its proper divisors (255163968) is greater than itself. Its abundance is 148392768
Bases of 106771200
- Binary: 1100101110100110011000000002
- Hexadecimal: 0x65D3300
- Base-36: 1RKH6O
Squares and roots of 106771200
- 106771200 squared (1067712002) is 11400089149440000
- 106771200 cubed (1067712003) is 1217201198592688128000000
-
The
square root of 106771200 is 10333.0150488619 -
The
cube root of 106771200 is 474.4073124821
Scales and comparisons
How big is 106771200?- 106,771,200 seconds is equal to 3 years, 20 weeks, 3 days, 18 hours, 40 minutes.
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To count from 1 to 106,771,200 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 106771200 cubic inches would be around 39.5 feet tall.
Recreational maths with 106771200
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