132739200
132,739,200 is an even composite number composed of five prime numbers multiplied together.
132739200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132739200:
27 × 32 × 52 × 11 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 419)See below for interesting mathematical facts about the number 132739200 from the Numbermatics database.
Names of 132739200
- Cardinal: 132739200 can be written as One hundred thirty-two million, seven hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.327392 × 108
Factors of 132739200
Divisors of 132739200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 144 150 160 165 176 180 192 198 200 220 225 240 264 275 288 300 320 330 352 360 384 396 400 419 440 450 480 495 528 550 576 600 640 660 704 720 792 800 825 838 880 900 960 990 1056 1100 1152 1200 1257 1320 1408 1440 1584 1600 1650 1676 1760 1800 1920 1980 2095 2112 2200 2400 2475 2514 2640 2880 3168 3200 3300 3352 3520 3600 3771 3960 4190 4224 4400 4609 4800 4950 5028 5280 5760 6285 6336 6600 6704 7040 7200 7542 7920 8380 8800 9218 9600 9900 10056 10475 10560 12570 12672 13200 13408 13827 14400 15084 15840 16760 17600 18436 18855 19800 20112 20950 21120 23045 25140 26400 26816 27654 28800 30168 31425 31680 33520 35200 36872 37710 39600 40224 41481 41900 46090 50280 52800 53632 55308 60336 62850 63360 67040 69135 73744 75420 79200 80448 82962 83800 92180 94275 100560 105600 110616 115225 120672 125700 134080 138270 147488 150840 158400 160896 165924 167600 184360 188550 201120 207405 221232 230450 241344 251400 268160 276540 294976 301680 316800 331848 335200 345675 368720 377100 402240 414810 442464 460900 482688 502800 553080 589952 603360 663696 670400 691350 737440 754200 804480 829620 884928 921800 1005600 1037025 1106160 1206720 1327392 1340800 1382700 1474880 1508400 1659240 1769856 1843600 2011200 2074050 2212320 2413440 2654784 2765400 2949760 3016800 3318480 3687200 4022400 4148100 4424640 5309568 5530800 6033600 6636960 7374400 8296200 8849280 11061600 12067200 13273920 14748800 16592400 22123200 26547840 33184800 44246400 66369600 132739200
- Sum of all divisors σ(n): 517935600
- Sum of proper divisors (its aliquot sum) s(n): 385196400
- 132739200 is an abundant number, because the sum of its proper divisors (385196400) is greater than itself. Its abundance is 252457200
Bases of 132739200
- Binary: 1111110100101110000100000002
- Hexadecimal: 0x7E97080
- Base-36: 271280
Squares and roots of 132739200
- 132739200 squared (1327392002) is 17619695216640000
- 132739200 cubed (1327392003) is 2338824247300620288000000
-
The
square root of 132739200 is 11521.2499321905 -
The
cube root of 132739200 is 510.1130084057
Scales and comparisons
How big is 132739200?- 132,739,200 seconds is equal to 4 years, 11 weeks, 3 days, 8 hours.
-
To count from 1 to 132,739,200 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 132739200 cubic inches would be around 42.5 feet tall.
Recreational maths with 132739200
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