13648960
13,648,960 is an even composite number composed of five prime numbers multiplied together.
13648960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 13648960:
26 × 5 × 13 × 17 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 193)See below for interesting mathematical facts about the number 13648960 from the Numbermatics database.
Names of 13648960
- Cardinal: 13648960 can be written as Thirteen million, six hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.364896 × 107
Factors of 13648960
Divisors of 13648960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 193 208 221 260 272 320 340 386 416 442 520 544 680 772 832 884 965 1040 1088 1105 1360 1544 1768 1930 2080 2210 2509 2720 3088 3281 3536 3860 4160 4420 5018 5440 6176 6562 7072 7720 8840 10036 12352 12545 13124 14144 15440 16405 17680 20072 25090 26248 30880 32810 35360 40144 42653 50180 52496 61760 65620 70720 80288 85306 100360 104992 131240 160576 170612 200720 209984 213265 262480 341224 401440 426530 524960 682448 802880 853060 1049920 1364896 1706120 2729792 3412240 6824480 13648960
- Sum of all divisors σ(n): 37252656
- Sum of proper divisors (its aliquot sum) s(n): 23603696
- 13648960 is an abundant number, because the sum of its proper divisors (23603696) is greater than itself. Its abundance is 9954736
Bases of 13648960
- Binary: 1101000001000100010000002
- Hexadecimal: 0xD04440
- Base-36: 84JLS
Squares and roots of 13648960
- 13648960 squared (136489602) is 186294109081600
- 13648960 cubed (136489603) is 2542720843090395136000
-
The
square root of 13648960 is 3694.4498913911 -
The
cube root of 13648960 is 238.9827313141
Scales and comparisons
How big is 13648960?- 13,648,960 seconds is equal to 22 weeks, 3 days, 23 hours, 22 minutes, 40 seconds.
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To count from 1 to 13,648,960 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 13648960 cubic inches would be around 19.9 feet tall.
Recreational maths with 13648960
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