12748800
12,748,800 is an even composite number composed of four prime numbers multiplied together.
12748800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12748800:
211 × 3 × 52 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 83)See below for interesting mathematical facts about the number 12748800 from the Numbermatics database.
Names of 12748800
- Cardinal: 12748800 can be written as Twelve million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.27488 × 107
Factors of 12748800
Divisors of 12748800
- Number of divisors d(n): 144
-
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 75 80 83 96 100 120 128 150 160 166 192 200 240 249 256 300 320 332 384 400 415 480 498 512 600 640 664 768 800 830 960 996 1024 1200 1245 1280 1328 1536 1600 1660 1920 1992 2048 2075 2400 2490 2560 2656 3072 3200 3320 3840 3984 4150 4800 4980 5120 5312 6144 6225 6400 6640 7680 7968 8300 9600 9960 10240 10624 12450 12800 13280 15360 15936 16600 19200 19920 21248 24900 25600 26560 30720 31872 33200 38400 39840 42496 49800 51200 53120 63744 66400 76800 79680 84992 99600 106240 127488 132800 153600 159360 169984 199200 212480 254976 265600 318720 398400 424960 509952 531200 637440 796800 849920 1062400 1274880 1593600 2124800 2549760 3187200 4249600 6374400 12748800
- Sum of all divisors σ(n): 42653520
- Sum of proper divisors (its aliquot sum) s(n): 29904720
- 12748800 is an abundant number, because the sum of its proper divisors (29904720) is greater than itself. Its abundance is 17155920
Bases of 12748800
- Binary: 1100001010001000000000002
- Hexadecimal: 0xC28800
- Base-36: 7L91C
Squares and roots of 12748800
- 12748800 squared (127488002) is 162531901440000
- 12748800 cubed (127488003) is 2072086705078272000000
-
The
square root of 12748800 is 3570.5461767073 -
The
cube root of 12748800 is 233.6091070447
Scales and comparisons
How big is 12748800?- 12,748,800 seconds is equal to 21 weeks, 13 hours, 20 minutes.
-
To count from 1 to 12,748,800 would take you about thirty-one 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 12748800 cubic inches would be around 19.5 feet tall.
Recreational maths with 12748800
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