133528320
133,528,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 133528320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
133528320 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 133528320:
28 × 32 × 5 × 67 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 67 × 173)See below for interesting mathematical facts about the number 133528320 from the Numbermatics database.
Names of 133528320
- Cardinal: 133528320 can be written as One hundred thirty-three million, five hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3352832 × 108
Factors of 133528320
Divisors of 133528320
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 67 72 80 90 96 120 128 134 144 160 173 180 192 201 240 256 268 288 320 335 346 360 384 402 480 519 536 576 603 640 670 692 720 768 804 865 960 1005 1038 1072 1152 1206 1280 1340 1384 1440 1557 1608 1730 1920 2010 2076 2144 2304 2412 2595 2680 2768 2880 3015 3114 3216 3460 3840 4020 4152 4288 4824 5190 5360 5536 5760 6030 6228 6432 6920 7785 8040 8304 8576 9648 10380 10720 11072 11520 11591 12060 12456 12864 13840 15570 16080 16608 17152 19296 20760 21440 22144 23182 24120 24912 25728 27680 31140 32160 33216 34773 38592 41520 42880 44288 46364 48240 49824 51456 55360 57955 62280 64320 66432 69546 77184 83040 85760 92728 96480 99648 104319 110720 115910 124560 128640 132864 139092 154368 166080 173865 185456 192960 199296 208638 221440 231820 249120 257280 278184 332160 347730 370912 385920 398592 417276 463640 498240 521595 556368 664320 695460 741824 771840 834552 927280 996480 1043190 1112736 1390920 1483648 1669104 1854560 1992960 2086380 2225472 2781840 2967296 3338208 3709120 4172760 4450944 5563680 6676416 7418240 8345520 8901888 11127360 13352832 14836480 16691040 22254720 26705664 33382080 44509440 66764160 133528320
- Sum of all divisors σ(n): 471599856
- Sum of proper divisors (its aliquot sum) s(n): 338071536
- 133528320 is an abundant number, because the sum of its proper divisors (338071536) is greater than itself. Its abundance is 204543216
Bases of 133528320
- Binary: 1111111010101111011000000002
- Hexadecimal: 0x7F57B00
- Base-36: 27HZ40
Squares and roots of 133528320
- 133528320 squared (1335283202) is 17829812242022400
- 133528320 cubed (1335283203) is 2380784874592684474368000
-
The
square root of 133528320 is 11555.4454695611 -
The
cube root of 133528320 is 511.1218671685
Scales and comparisons
How big is 133528320?- 133,528,320 seconds is equal to 4 years, 12 weeks, 5 days, 11 hours, 12 minutes.
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To count from 1 to 133,528,320 would take you about six years!
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 133528320 cubic inches would be around 42.6 feet tall.
Recreational maths with 133528320
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