11126400
11,126,400 is an even composite number composed of five prime numbers multiplied together.
11126400 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 11126400:
27 × 3 × 52 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 61)See below for interesting mathematical facts about the number 11126400 from the Numbermatics database.
Names of 11126400
- Cardinal: 11126400 can be written as Eleven million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.11264 × 107
Factors of 11126400
Divisors of 11126400
- 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 19 20 24 25 30 32 38 40 48 50 57 60 61 64 75 76 80 95 96 100 114 120 122 128 150 152 160 183 190 192 200 228 240 244 285 300 304 305 320 366 380 384 400 456 475 480 488 570 600 608 610 640 732 760 800 912 915 950 960 976 1140 1159 1200 1216 1220 1425 1464 1520 1525 1600 1824 1830 1900 1920 1952 2280 2318 2400 2432 2440 2850 2928 3040 3050 3200 3477 3648 3660 3800 3904 4560 4575 4636 4800 4880 5700 5795 5856 6080 6100 6954 7296 7320 7600 7808 9120 9150 9272 9600 9760 11400 11590 11712 12160 12200 13908 14640 15200 17385 18240 18300 18544 19520 22800 23180 23424 24400 27816 28975 29280 30400 34770 36480 36600 37088 39040 45600 46360 48800 55632 57950 58560 60800 69540 73200 74176 86925 91200 92720 97600 111264 115900 117120 139080 146400 148352 173850 182400 185440 195200 222528 231800 278160 292800 347700 370880 445056 463600 556320 585600 695400 741760 927200 1112640 1390800 1854400 2225280 2781600 3708800 5563200 11126400
- Sum of all divisors σ(n): 39208800
- Sum of proper divisors (its aliquot sum) s(n): 28082400
- 11126400 is an abundant number, because the sum of its proper divisors (28082400) is greater than itself. Its abundance is 16956000
Bases of 11126400
- Binary: 1010100111000110100000002
- Hexadecimal: 0xA9C680
- Base-36: 6MH6O
Squares and roots of 11126400
- 11126400 squared (111264002) is 123796776960000
- 11126400 cubed (111264003) is 1377412459167744000000
-
The
square root of 11126400 is 3335.6258783025 -
The
cube root of 11126400 is 223.2466186459
Scales and comparisons
How big is 11126400?- 11,126,400 seconds is equal to 18 weeks, 2 days, 18 hours, 40 minutes.
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To count from 1 to 11,126,400 would take you about twenty-seven 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 11126400 cubic inches would be around 18.6 feet tall.
Recreational maths with 11126400
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