132097200
132,097,200 is an even composite number composed of six prime numbers multiplied together.
132097200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 132097200:
24 × 3 × 52 × 31 × 53 × 67
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 53 × 67)See below for interesting mathematical facts about the number 132097200 from the Numbermatics database.
Names of 132097200
- Cardinal: 132097200 can be written as One hundred thirty-two million, ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.320972 × 108
Factors of 132097200
Divisors of 132097200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 53 60 62 67 75 80 93 100 106 120 124 134 150 155 159 186 200 201 212 240 248 265 268 300 310 318 335 372 400 402 424 465 496 530 536 600 620 636 670 744 775 795 804 848 930 1005 1060 1072 1200 1240 1272 1325 1340 1488 1550 1590 1608 1643 1675 1860 2010 2077 2120 2325 2480 2544 2650 2680 3100 3180 3216 3286 3350 3551 3720 3975 4020 4154 4240 4650 4929 5025 5300 5360 6200 6231 6360 6572 6700 7102 7440 7950 8040 8215 8308 9300 9858 10050 10385 10600 10653 12400 12462 12720 13144 13400 14204 15900 16080 16430 16616 17755 18600 19716 20100 20770 21200 21306 24645 24924 26288 26800 28408 31155 31800 32860 33232 35510 37200 39432 40200 41075 41540 42612 49290 49848 51925 53265 56816 62310 63600 65720 71020 78864 80400 82150 83080 85224 88775 98580 99696 103850 106530 110081 123225 124620 131440 142040 155775 164300 166160 170448 177550 197160 207700 213060 220162 246450 249240 266325 284080 311550 328600 330243 355100 394320 415400 426120 440324 492900 498480 532650 550405 623100 657200 660486 710200 830800 852240 880648 985800 1065300 1100810 1246200 1320972 1420400 1651215 1761296 1971600 2130600 2201620 2492400 2641944 2752025 3302430 4261200 4403240 5283888 5504050 6604860 8256075 8806480 11008100 13209720 16512150 22016200 26419440 33024300 44032400 66048600 132097200
- Sum of all divisors σ(n): 451685376
- Sum of proper divisors (its aliquot sum) s(n): 319588176
- 132097200 is an abundant number, because the sum of its proper divisors (319588176) is greater than itself. Its abundance is 187490976
Bases of 132097200
- Binary: 1111101111110100100101100002
- Hexadecimal: 0x7DFA4B0
- Base-36: 26NAUO
Squares and roots of 132097200
- 132097200 squared (1320972002) is 17449670247840000
- 132097200 cubed (1320972003) is 2305052580662970048000000
-
The
square root of 132097200 is 11493.3546016817 -
The
cube root of 132097200 is 509.2892830033
Scales and comparisons
How big is 132097200?- 132,097,200 seconds is equal to 4 years, 10 weeks, 2 days, 21 hours, 40 minutes.
-
To count from 1 to 132,097,200 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 132097200 cubic inches would be around 42.4 feet tall.
Recreational maths with 132097200
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