11493120
11,493,120 is an even composite number composed of five prime numbers multiplied together.
11493120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 11493120:
28 × 3 × 5 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 73)See below for interesting mathematical facts about the number 11493120 from the Numbermatics database.
Names of 11493120
- Cardinal: 11493120 can be written as Eleven million, four hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.149312 × 107
Factors of 11493120
Divisors of 11493120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 73 80 82 96 120 123 128 146 160 164 192 205 219 240 246 256 292 320 328 365 384 410 438 480 492 584 615 640 656 730 768 820 876 960 984 1095 1168 1230 1280 1312 1460 1640 1752 1920 1968 2190 2336 2460 2624 2920 2993 3280 3504 3840 3936 4380 4672 4920 5248 5840 5986 6560 7008 7872 8760 8979 9344 9840 10496 11680 11972 13120 14016 14965 15744 17520 17958 18688 19680 23360 23944 26240 28032 29930 31488 35040 35916 39360 44895 46720 47888 52480 56064 59860 70080 71832 78720 89790 93440 95776 119720 140160 143664 157440 179580 191552 239440 280320 287328 359160 383104 478880 574656 718320 766208 957760 1149312 1436640 1915520 2298624 2873280 3831040 5746560 11493120
- Sum of all divisors σ(n): 38116512
- Sum of proper divisors (its aliquot sum) s(n): 26623392
- 11493120 is an abundant number, because the sum of its proper divisors (26623392) is greater than itself. Its abundance is 15130272
Bases of 11493120
- Binary: 1010111101011111000000002
- Hexadecimal: 0xAF5F00
- Base-36: 6UC5C
Squares and roots of 11493120
- 11493120 squared (114931202) is 132091807334400
- 11493120 cubed (114931203) is 1518146992711139328000
-
The
square root of 11493120 is 3390.1504391399 -
The
cube root of 11493120 is 225.6728500709
Scales and comparisons
How big is 11493120?- 11,493,120 seconds is equal to 19 weeks, 32 minutes.
-
To count from 1 to 11,493,120 would take you about twenty-eight weeks!
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 11493120 cubic inches would be around 18.8 feet tall.
Recreational maths with 11493120
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