13764000
13,764,000 is an even composite number composed of five prime numbers multiplied together.
13764000 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 13764000:
25 × 3 × 53 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 37)See below for interesting mathematical facts about the number 13764000 from the Numbermatics database.
Names of 13764000
- Cardinal: 13764000 can be written as Thirteen million, seven hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3764 × 107
Factors of 13764000
Divisors of 13764000
- 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 20 24 25 30 31 32 37 40 48 50 60 62 74 75 80 93 96 100 111 120 124 125 148 150 155 160 185 186 200 222 240 248 250 296 300 310 370 372 375 400 444 465 480 496 500 555 592 600 620 740 744 750 775 800 888 925 930 992 1000 1110 1147 1184 1200 1240 1480 1488 1500 1550 1776 1850 1860 2000 2220 2294 2325 2400 2480 2775 2960 2976 3000 3100 3441 3552 3700 3720 3875 4000 4440 4588 4625 4650 4960 5550 5735 5920 6000 6200 6882 7400 7440 7750 8880 9176 9250 9300 11100 11470 11625 12000 12400 13764 13875 14800 14880 15500 17205 17760 18352 18500 18600 22200 22940 23250 24800 27528 27750 28675 29600 31000 34410 36704 37000 37200 44400 45880 46500 55056 55500 57350 62000 68820 74000 74400 86025 88800 91760 93000 110112 111000 114700 124000 137640 143375 148000 172050 183520 186000 222000 229400 275280 286750 344100 372000 430125 444000 458800 550560 573500 688200 860250 917600 1147000 1376400 1720500 2294000 2752800 3441000 4588000 6882000 13764000
- Sum of all divisors σ(n): 47803392
- Sum of proper divisors (its aliquot sum) s(n): 34039392
- 13764000 is an abundant number, because the sum of its proper divisors (34039392) is greater than itself. Its abundance is 20275392
Bases of 13764000
- Binary: 1101001000000101101000002
- Hexadecimal: 0xD205A0
- Base-36: 870DC
Squares and roots of 13764000
- 13764000 squared (137640002) is 189447696000000
- 13764000 cubed (137640003) is 2607558087744000000000
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The
square root of 13764000 is 3709.9865228865 -
The
cube root of 13764000 is 239.6522742161
Scales and comparisons
How big is 13764000?- 13,764,000 seconds is equal to 22 weeks, 5 days, 7 hours, 20 minutes.
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To count from 1 to 13,764,000 would take you about thirty-four 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 13764000 cubic inches would be around 20 feet tall.
Recreational maths with 13764000
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