106838400
106,838,400 is an even composite number composed of five prime numbers multiplied together.
106838400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 106838400:
27 × 3 × 52 × 31 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 359)See below for interesting mathematical facts about the number 106838400 from the Numbermatics database.
Names of 106838400
- Cardinal: 106838400 can be written as One hundred six million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.068384 × 108
Factors of 106838400
Divisors of 106838400
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 300 310 320 359 372 384 400 465 480 496 600 620 640 718 744 775 800 930 960 992 1077 1200 1240 1436 1488 1550 1600 1795 1860 1920 1984 2154 2325 2400 2480 2872 2976 3100 3200 3590 3720 3968 4308 4650 4800 4960 5385 5744 5952 6200 7180 7440 8616 8975 9300 9600 9920 10770 11129 11488 11904 12400 14360 14880 17232 17950 18600 19840 21540 22258 22976 24800 26925 28720 29760 33387 34464 35900 37200 43080 44516 45952 49600 53850 55645 57440 59520 66774 68928 71800 74400 86160 89032 99200 107700 111290 114880 133548 137856 143600 148800 166935 172320 178064 215400 222580 229760 267096 278225 287200 297600 333870 344640 356128 430800 445160 534192 556450 574400 667740 689280 712256 834675 861600 890320 1068384 1112900 1148800 1335480 1424512 1669350 1723200 1780640 2136768 2225800 2670960 3338700 3446400 3561280 4273536 4451600 5341920 6677400 7122560 8903200 10683840 13354800 17806400 21367680 26709600 35612800 53419200 106838400
- Sum of all divisors σ(n): 364262400
- Sum of proper divisors (its aliquot sum) s(n): 257424000
- 106838400 is an abundant number, because the sum of its proper divisors (257424000) is greater than itself. Its abundance is 150585600
Bases of 106838400
- Binary: 1100101111000111001100000002
- Hexadecimal: 0x65E3980
- Base-36: 1RLX1C
Squares and roots of 106838400
- 106838400 squared (1068384002) is 11414443714560000
- 106838400 cubed (1068384003) is 1219500903353647104000000
-
The
square root of 106838400 is 10336.2662504407 -
The
cube root of 106838400 is 474.5068196071
Scales and comparisons
How big is 106838400?- 106,838,400 seconds is equal to 3 years, 20 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 106,838,400 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 106838400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106838400
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The information we have on file for 106838400 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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