132007590
132,007,590 is an even composite number composed of six prime numbers multiplied together.
132007590 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132007590:
2 × 33 × 5 × 11 × 132 × 263
(2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 263)See below for interesting mathematical facts about the number 132007590 from the Numbermatics database.
Names of 132007590
- Cardinal: 132007590 can be written as One hundred thirty-two million, seven thousand, five hundred ninety.
Scientific notation
- Scientific notation: 1.3200759 × 108
Factors of 132007590
Divisors of 132007590
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 169 195 198 234 263 270 286 297 330 338 351 390 429 495 507 526 585 594 702 715 789 845 858 990 1014 1170 1287 1315 1430 1485 1521 1578 1690 1755 1859 2145 2367 2535 2574 2630 2893 2970 3042 3419 3510 3718 3861 3945 4290 4563 4734 5070 5577 5786 6435 6838 7101 7605 7722 7890 8679 9126 9295 10257 11154 11835 12870 14202 14465 15210 16731 17095 17358 18590 19305 20514 22815 23670 26037 27885 28930 30771 33462 34190 35505 37609 38610 43395 44447 45630 50193 51285 52074 55770 61542 71010 75218 78111 83655 86790 88894 92313 100386 102570 112827 130185 133341 153855 156222 167310 184626 188045 222235 225654 250965 260370 266682 307710 338481 376090 390555 400023 444470 461565 488917 501930 564135 666705 676962 781110 800046 923130 977834 1015443 1128270 1200069 1333410 1466751 1692405 2000115 2030886 2400138 2444585 2933502 3384810 4000230 4400253 4889170 5077215 6000345 7333755 8800506 10154430 12000690 13200759 14667510 22001265 26401518 44002530 66003795 132007590
- Sum of all divisors σ(n): 417415680
- Sum of proper divisors (its aliquot sum) s(n): 285408090
- 132007590 is an abundant number, because the sum of its proper divisors (285408090) is greater than itself. Its abundance is 153400500
Bases of 132007590
- Binary: 1111101111001000110101001102
- Hexadecimal: 0x7DE46A6
- Base-36: 26LDPI
Squares and roots of 132007590
- 132007590 squared (1320075902) is 17426003817608100
- 132007590 cubed (1320075903) is 2300364767293244845479000
-
The
square root of 132007590 is 11489.4556006801 -
The
cube root of 132007590 is 509.1740957621
Scales and comparisons
How big is 132007590?- 132,007,590 seconds is equal to 4 years, 10 weeks, 1 day, 20 hours, 46 minutes, 30 seconds.
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To count from 1 to 132,007,590 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 132007590 cubic inches would be around 42.4 feet tall.
Recreational maths with 132007590
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