13328640
13,328,640 is an even composite number composed of five prime numbers multiplied together.
13328640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13328640:
28 × 32 × 5 × 13 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 89)See below for interesting mathematical facts about the number 13328640 from the Numbermatics database.
Names of 13328640
- Cardinal: 13328640 can be written as Thirteen million, three hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.332864 × 107
Factors of 13328640
Divisors of 13328640
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 89 90 96 104 117 120 128 130 144 156 160 178 180 192 195 208 234 240 256 260 267 288 312 320 356 360 384 390 416 445 468 480 520 534 576 585 624 640 712 720 768 780 801 832 890 936 960 1040 1068 1152 1157 1170 1248 1280 1335 1424 1440 1560 1602 1664 1780 1872 1920 2080 2136 2304 2314 2340 2496 2670 2848 2880 3120 3204 3328 3471 3560 3744 3840 4005 4160 4272 4628 4680 4992 5340 5696 5760 5785 6240 6408 6942 7120 7488 8010 8320 8544 9256 9360 9984 10413 10680 11392 11520 11570 12480 12816 13884 14240 14976 16020 16640 17088 17355 18512 18720 20826 21360 22784 23140 24960 25632 27768 28480 29952 32040 34176 34710 37024 37440 41652 42720 46280 49920 51264 52065 55536 56960 64080 68352 69420 74048 74880 83304 85440 92560 102528 104130 111072 113920 128160 138840 148096 149760 166608 170880 185120 205056 208260 222144 256320 277680 296192 333216 341760 370240 416520 444288 512640 555360 666432 740480 833040 888576 1025280 1110720 1332864 1480960 1666080 2221440 2665728 3332160 4442880 6664320 13328640
- Sum of all divisors σ(n): 50221080
- Sum of proper divisors (its aliquot sum) s(n): 36892440
- 13328640 is an abundant number, because the sum of its proper divisors (36892440) is greater than itself. Its abundance is 23563800
Bases of 13328640
- Binary: 1100101101100001000000002
- Hexadecimal: 0xCB6100
- Base-36: 7XOG0
Squares and roots of 13328640
- 13328640 squared (133286402) is 177652644249600
- 13328640 cubed (133286403) is 2367868140250988544000
-
The
square root of 13328640 is 3650.8409990029 -
The
cube root of 13328640 is 237.0983942243
Scales and comparisons
How big is 13328640?- 13,328,640 seconds is equal to 22 weeks, 6 hours, 24 minutes.
-
To count from 1 to 13,328,640 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 13328640 cubic inches would be around 19.8 feet tall.
Recreational maths with 13328640
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