132972000
132,972,000 is an even composite number composed of five prime numbers multiplied together.
132972000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132972000:
25 × 3 × 53 × 7 × 1583
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 1583)See below for interesting mathematical facts about the number 132972000 from the Numbermatics database.
Names of 132972000
- Cardinal: 132972000 can be written as One hundred thirty-two million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.32972 × 108
Factors of 132972000
Divisors of 132972000
- Number of divisors d(n): 192
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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 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 125 140 150 160 168 175 200 210 224 240 250 280 300 336 350 375 400 420 480 500 525 560 600 672 700 750 800 840 875 1000 1050 1120 1200 1400 1500 1583 1680 1750 2000 2100 2400 2625 2800 3000 3166 3360 3500 4000 4200 4749 5250 5600 6000 6332 7000 7915 8400 9498 10500 11081 12000 12664 14000 15830 16800 18996 21000 22162 23745 25328 28000 31660 33243 37992 39575 42000 44324 47490 50656 55405 63320 66486 75984 79150 84000 88648 94980 110810 118725 126640 132972 151968 158300 166215 177296 189960 197875 221620 237450 253280 265944 277025 316600 332430 354592 379920 395750 443240 474900 531888 554050 593625 633200 664860 759840 791500 831075 886480 949800 1063776 1108100 1187250 1266400 1329720 1385125 1583000 1662150 1772960 1899600 2216200 2374500 2659440 2770250 3166000 3324300 3799200 4155375 4432400 4749000 5318880 5540500 6332000 6648600 8310750 8864800 9498000 11081000 13297200 16621500 18996000 22162000 26594400 33243000 44324000 66486000 132972000
- Sum of all divisors σ(n): 498161664
- Sum of proper divisors (its aliquot sum) s(n): 365189664
- 132972000 is an abundant number, because the sum of its proper divisors (365189664) is greater than itself. Its abundance is 232217664
Bases of 132972000
- Binary: 1111110110011111101111000002
- Hexadecimal: 0x7ECFDE0
- Base-36: 2761UO
Squares and roots of 132972000
- 132972000 squared (1329720002) is 17681552784000000
- 132972000 cubed (1329720003) is 2351151436794048000000000
-
The
square root of 132972000 is 11531.3485768145 -
The
cube root of 132972000 is 510.4110488529
Scales and comparisons
How big is 132972000?- 132,972,000 seconds is equal to 4 years, 11 weeks, 6 days, 40 minutes.
-
To count from 1 to 132,972,000 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 132972000 cubic inches would be around 42.5 feet tall.
Recreational maths with 132972000
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