132007680
132,007,680 is an even composite number composed of five prime numbers multiplied together.
132007680 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 132007680:
28 × 32 × 5 × 7 × 1637
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 1637)See below for interesting mathematical facts about the number 132007680 from the Numbermatics database.
Names of 132007680
- Cardinal: 132007680 can be written as One hundred thirty-two million, seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3200768 × 108
Factors of 132007680
Divisors of 132007680
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 560 576 630 640 672 720 768 840 896 960 1008 1120 1152 1260 1280 1344 1440 1637 1680 1792 1920 2016 2240 2304 2520 2688 2880 3274 3360 3840 4032 4480 4911 5040 5376 5760 6548 6720 8064 8185 8960 9822 10080 11459 11520 13096 13440 14733 16128 16370 19644 20160 22918 24555 26192 26880 29466 32740 34377 39288 40320 45836 49110 52384 57295 58932 65480 68754 73665 78576 80640 91672 98220 103131 104768 114590 117864 130960 137508 147330 157152 171885 183344 196440 206262 209536 229180 235728 261920 275016 294660 314304 343770 366688 392880 412524 419072 458360 471456 515655 523840 550032 589320 628608 687540 733376 785760 825048 916720 942912 1031310 1047680 1100064 1178640 1257216 1375080 1466752 1571520 1650096 1833440 1885824 2062620 2095360 2200128 2357280 2750160 2933504 3143040 3300192 3666880 3771648 4125240 4400256 4714560 5500320 6286080 6600384 7333760 8250480 8800512 9429120 11000640 13200768 14667520 16500960 18858240 22001280 26401536 33001920 44002560 66003840 132007680
- Sum of all divisors σ(n): 522299232
- Sum of proper divisors (its aliquot sum) s(n): 390291552
- 132007680 is an abundant number, because the sum of its proper divisors (390291552) is greater than itself. Its abundance is 258283872
Bases of 132007680
- Binary: 1111101111001000111000000002
- Hexadecimal: 0x7DE4700
- Base-36: 26LDS0
Squares and roots of 132007680
- 132007680 squared (1320076802) is 17426027578982400
- 132007680 cubed (1320076803) is 2300369472317483384832000
-
The
square root of 132007680 is 11489.4595173141 -
The
cube root of 132007680 is 509.1742114767
Scales and comparisons
How big is 132007680?- 132,007,680 seconds is equal to 4 years, 10 weeks, 1 day, 20 hours, 48 minutes.
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To count from 1 to 132,007,680 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 132007680 cubic inches would be around 42.4 feet tall.
Recreational maths with 132007680
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