106790400
106,790,400 is an even composite number composed of four prime numbers multiplied together.
106790400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 106790400:
29 × 34 × 52 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 103)See below for interesting mathematical facts about the number 106790400 from the Numbermatics database.
Names of 106790400
- Cardinal: 106790400 can be written as One hundred six million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.067904 × 108
Factors of 106790400
Divisors of 106790400
- Number of divisors d(n): 300
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 103 108 120 128 135 144 150 160 162 180 192 200 206 216 225 240 256 270 288 300 309 320 324 360 384 400 405 412 432 450 480 512 515 540 576 600 618 640 648 675 720 768 800 810 824 864 900 927 960 1030 1080 1152 1200 1236 1280 1296 1350 1440 1536 1545 1600 1620 1648 1728 1800 1854 1920 2025 2060 2160 2304 2400 2472 2560 2575 2592 2700 2781 2880 3090 3200 3240 3296 3456 3600 3708 3840 4050 4120 4320 4608 4635 4800 4944 5150 5184 5400 5562 5760 6180 6400 6480 6592 6912 7200 7416 7680 7725 8100 8240 8343 8640 9270 9600 9888 10300 10368 10800 11124 11520 12360 12800 12960 13184 13824 13905 14400 14832 15450 16200 16480 16686 17280 18540 19200 19776 20600 20736 21600 22248 23040 23175 24720 25920 26368 27810 28800 29664 30900 32400 32960 33372 34560 37080 38400 39552 41200 41472 41715 43200 44496 46350 49440 51840 52736 55620 57600 59328 61800 64800 65920 66744 69120 69525 74160 79104 82400 83430 86400 88992 92700 98880 103680 111240 115200 118656 123600 129600 131840 133488 139050 148320 158208 164800 166860 172800 177984 185400 197760 207360 208575 222480 237312 247200 259200 263680 266976 278100 296640 329600 333720 345600 355968 370800 395520 417150 444960 474624 494400 518400 533952 556200 593280 659200 667440 711936 741600 791040 834300 889920 988800 1036800 1067904 1112400 1186560 1318400 1334880 1423872 1483200 1668600 1779840 1977600 2135808 2224800 2373120 2669760 2966400 3337200 3559680 3955200 4271616 4449600 5339520 5932800 6674400 7119360 8899200 10679040 11865600 13348800 17798400 21358080 26697600 35596800 53395200 106790400
- Sum of all divisors σ(n): 399076392
- Sum of proper divisors (its aliquot sum) s(n): 292285992
- 106790400 is an abundant number, because the sum of its proper divisors (292285992) is greater than itself. Its abundance is 185495592
Bases of 106790400
- Binary: 1100101110101111110000000002
- Hexadecimal: 0x65D7E00
- Base-36: 1RKW00
Squares and roots of 106790400
- 106790400 squared (1067904002) is 11404189532160000
- 106790400 cubed (1067904003) is 1217857961815179264000000
-
The
square root of 106790400 is 10333.9440679733 -
The
cube root of 106790400 is 474.4357473487
Scales and comparisons
How big is 106790400?- 106,790,400 seconds is equal to 3 years, 20 weeks, 4 days.
-
To count from 1 to 106,790,400 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 106790400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106790400
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