13478920
13,478,920 is an even composite number composed of five prime numbers multiplied together.
13478920 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 13478920:
23 × 5 × 72 × 13 × 232
(2 × 2 × 2 × 5 × 7 × 7 × 13 × 23 × 23)See below for interesting mathematical facts about the number 13478920 from the Numbermatics database.
Names of 13478920
- Cardinal: 13478920 can be written as Thirteen million, four hundred seventy-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.347892 × 107
Factors of 13478920
Divisors of 13478920
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 49 52 56 65 70 91 92 98 104 115 130 140 161 182 184 196 230 245 260 280 299 322 364 392 455 460 490 520 529 598 637 644 728 805 910 920 980 1058 1127 1196 1274 1288 1495 1610 1820 1960 2093 2116 2254 2392 2548 2645 2990 3185 3220 3640 3703 4186 4232 4508 5096 5290 5635 5980 6370 6440 6877 7406 8372 9016 10465 10580 11270 11960 12740 13754 14651 14812 16744 18515 20930 21160 22540 25480 25921 27508 29302 29624 34385 37030 41860 45080 48139 51842 55016 58604 68770 73255 74060 83720 96278 103684 117208 129605 137540 146510 148120 192556 207368 240695 259210 275080 293020 336973 385112 481390 518420 586040 673946 962780 1036840 1347892 1684865 1925560 2695784 3369730 6739460 13478920
- Sum of all divisors σ(n): 39716460
- Sum of proper divisors (its aliquot sum) s(n): 26237540
- 13478920 is an abundant number, because the sum of its proper divisors (26237540) is greater than itself. Its abundance is 12758620
Bases of 13478920
- Binary: 1100110110101100000010002
- Hexadecimal: 0xCDAC08
- Base-36: 80WEG
Squares and roots of 13478920
- 13478920 squared (134789202) is 181681284366400
- 13478920 cubed (134789203) is 2448867497471956288000
-
The
square root of 13478920 is 3671.3648688193 -
The
cube root of 13478920 is 237.9861583645
Scales and comparisons
How big is 13478920?- 13,478,920 seconds is equal to 22 weeks, 2 days, 8 minutes, 40 seconds.
-
To count from 1 to 13,478,920 would take you about thirty-three 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 13478920 cubic inches would be around 19.8 feet tall.
Recreational maths with 13478920
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