13128960
13,128,960 is an even composite number composed of five prime numbers multiplied together.
13128960 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 13128960:
28 × 3 × 5 × 13 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 263)See below for interesting mathematical facts about the number 13128960 from the Numbermatics database.
Names of 13128960
- Cardinal: 13128960 can be written as Thirteen million, one hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.312896 × 107
Factors of 13128960
Divisors of 13128960
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 263 312 320 384 390 416 480 520 526 624 640 768 780 789 832 960 1040 1052 1248 1280 1315 1560 1578 1664 1920 2080 2104 2496 2630 3120 3156 3328 3419 3840 3945 4160 4208 4992 5260 6240 6312 6838 7890 8320 8416 9984 10257 10520 12480 12624 13676 15780 16640 16832 17095 20514 21040 24960 25248 27352 31560 33664 34190 41028 42080 49920 50496 51285 54704 63120 67328 68380 82056 84160 100992 102570 109408 126240 136760 164112 168320 201984 205140 218816 252480 273520 328224 336640 410280 437632 504960 547040 656448 820560 875264 1009920 1094080 1312896 1641120 2188160 2625792 3282240 4376320 6564480 13128960
- Sum of all divisors σ(n): 45327744
- Sum of proper divisors (its aliquot sum) s(n): 32198784
- 13128960 is an abundant number, because the sum of its proper divisors (32198784) is greater than itself. Its abundance is 19069824
Bases of 13128960
- Binary: 1100100001010101000000002
- Hexadecimal: 0xC85500
- Base-36: 7TEDC
Squares and roots of 13128960
- 13128960 squared (131289602) is 172369590681600
- 13128960 cubed (131289603) is 2263033461275099136000
-
The
square root of 13128960 is 3623.3906772525 -
The
cube root of 13128960 is 235.9084198915
Scales and comparisons
How big is 13128960?- 13,128,960 seconds is equal to 21 weeks, 4 days, 22 hours, 56 minutes.
-
To count from 1 to 13,128,960 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 13128960 cubic inches would be around 19.7 feet tall.
Recreational maths with 13128960
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