132997200
132,997,200 is an even composite number composed of six prime numbers multiplied together.
132997200 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 132997200:
24 × 3 × 52 × 7 × 71 × 223
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 71 × 223)See below for interesting mathematical facts about the number 132997200 from the Numbermatics database.
Names of 132997200
- Cardinal: 132997200 can be written as One hundred thirty-two million, nine hundred ninety-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.329972 × 108
Factors of 132997200
Divisors of 132997200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 71 75 80 84 100 105 112 120 140 142 150 168 175 200 210 213 223 240 280 284 300 336 350 355 400 420 426 446 497 525 560 568 600 669 700 710 840 852 892 994 1050 1065 1115 1136 1200 1338 1400 1420 1491 1561 1680 1704 1775 1784 1988 2100 2130 2230 2485 2676 2800 2840 2982 3122 3345 3408 3550 3568 3976 4200 4260 4460 4683 4970 5325 5352 5575 5680 5964 6244 6690 7100 7455 7805 7952 8400 8520 8920 9366 9940 10650 10704 11150 11928 12425 12488 13380 14200 14910 15610 15833 16725 17040 17840 18732 19880 21300 22300 23415 23856 24850 24976 26760 28400 29820 31220 31666 33450 37275 37464 39025 39760 42600 44600 46830 47499 49700 53520 59640 62440 63332 66900 74550 74928 78050 79165 85200 89200 93660 94998 99400 110831 117075 119280 124880 126664 133800 149100 156100 158330 187320 189996 198800 221662 234150 237495 253328 267600 298200 312200 316660 332493 374640 379992 395825 443324 468300 474990 554155 596400 624400 633320 664986 759984 791650 886648 936600 949980 1108310 1187475 1266640 1329972 1583300 1662465 1773296 1873200 1899960 2216620 2374950 2659944 2770775 3166600 3324930 3799920 4433240 4749900 5319888 5541550 6333200 6649860 8312325 8866480 9499800 11083100 13299720 16624650 18999600 22166200 26599440 33249300 44332400 66498600 132997200
- Sum of all divisors σ(n): 495968256
- Sum of proper divisors (its aliquot sum) s(n): 362971056
- 132997200 is an abundant number, because the sum of its proper divisors (362971056) is greater than itself. Its abundance is 229973856
Bases of 132997200
- Binary: 1111110110101100000010100002
- Hexadecimal: 0x7ED6050
- Base-36: 276LAO
Squares and roots of 132997200
- 132997200 squared (1329972002) is 17688255207840000
- 132997200 cubed (1329972003) is 2352488415528138048000000
-
The
square root of 132997200 is 11532.4411986361 -
The
cube root of 132997200 is 510.4432900915
Scales and comparisons
How big is 132997200?- 132,997,200 seconds is equal to 4 years, 11 weeks, 6 days, 7 hours, 40 minutes.
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To count from 1 to 132,997,200 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 132997200 cubic inches would be around 42.5 feet tall.
Recreational maths with 132997200
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