12971200
12,971,200 is an even composite number composed of four prime numbers multiplied together.
12971200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 12971200:
26 × 52 × 112 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 67)See below for interesting mathematical facts about the number 12971200 from the Numbermatics database.
Names of 12971200
- Cardinal: 12971200 can be written as Twelve million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.29712 × 107
Factors of 12971200
Divisors of 12971200
- Number of divisors d(n): 126
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 67 80 88 100 110 121 134 160 176 200 220 242 268 275 320 335 352 400 440 484 536 550 605 670 704 737 800 880 968 1072 1100 1210 1340 1474 1600 1675 1760 1936 2144 2200 2420 2680 2948 3025 3350 3520 3685 3872 4288 4400 4840 5360 5896 6050 6700 7370 7744 8107 8800 9680 10720 11792 12100 13400 14740 16214 17600 18425 19360 21440 23584 24200 26800 29480 32428 36850 38720 40535 47168 48400 53600 58960 64856 73700 81070 96800 107200 117920 129712 147400 162140 193600 202675 235840 259424 294800 324280 405350 518848 589600 648560 810700 1179200 1297120 1621400 2594240 3242800 6485600 12971200
- Sum of all divisors σ(n): 35606228
- Sum of proper divisors (its aliquot sum) s(n): 22635028
- 12971200 is an abundant number, because the sum of its proper divisors (22635028) is greater than itself. Its abundance is 9663828
Bases of 12971200
- Binary: 1100010111101100110000002
- Hexadecimal: 0xC5ECC0
- Base-36: 7Q0N4
Squares and roots of 12971200
- 12971200 squared (129712002) is 168252029440000
- 12971200 cubed (129712003) is 2182430724272128000000
-
The
square root of 12971200 is 3601.5552196239 -
The
cube root of 12971200 is 234.9597033667
Scales and comparisons
How big is 12971200?- 12,971,200 seconds is equal to 21 weeks, 3 days, 3 hours, 6 minutes, 40 seconds.
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To count from 1 to 12,971,200 would take you about thirty-two 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 12971200 cubic inches would be around 19.6 feet tall.
Recreational maths with 12971200
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