132646920
132,646,920 is an even composite number composed of six prime numbers multiplied together.
132646920 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 132646920:
23 × 3 × 5 × 72 × 17 × 1327
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 1327)See below for interesting mathematical facts about the number 132646920 from the Numbermatics database.
Names of 132646920
- Cardinal: 132646920 can be written as One hundred thirty-two million, six hundred forty-six thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3264692 × 108
Factors of 132646920
Divisors of 132646920
- 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 17 20 21 24 28 30 34 35 40 42 49 51 56 60 68 70 84 85 98 102 105 119 120 136 140 147 168 170 196 204 210 238 245 255 280 294 340 357 392 408 420 476 490 510 588 595 680 714 735 833 840 952 980 1020 1176 1190 1327 1428 1470 1666 1785 1960 2040 2380 2499 2654 2856 2940 3332 3570 3981 4165 4760 4998 5308 5880 6635 6664 7140 7962 8330 9289 9996 10616 12495 13270 14280 15924 16660 18578 19905 19992 22559 24990 26540 27867 31848 33320 37156 39810 45118 46445 49980 53080 55734 65023 67677 74312 79620 90236 92890 99960 111468 112795 130046 135354 139335 157913 159240 180472 185780 195069 222936 225590 260092 270708 278670 315826 325115 338385 371560 390138 451180 473739 520184 541416 557340 631652 650230 676770 780276 789565 902360 947478 975345 1105391 1114680 1263304 1300460 1353540 1560552 1579130 1894956 1950690 2210782 2368695 2600920 2707080 3158260 3316173 3789912 3901380 4421564 4737390 5526955 6316520 6632346 7802760 8843128 9474780 11053910 13264692 16580865 18949560 22107820 26529384 33161730 44215640 66323460 132646920
- Sum of all divisors σ(n): 490510080
- Sum of proper divisors (its aliquot sum) s(n): 357863160
- 132646920 is an abundant number, because the sum of its proper divisors (357863160) is greater than itself. Its abundance is 225216240
Bases of 132646920
- Binary: 1111110100000001000000010002
- Hexadecimal: 0x7E80808
- Base-36: 26Z30O
Squares and roots of 132646920
- 132646920 squared (1326469202) is 17595205385486400
- 132646920 cubed (1326469203) is 2333949801152183661888000
-
The
square root of 132646920 is 11517.2444621099 -
The
cube root of 132646920 is 509.9947711881
Scales and comparisons
How big is 132646920?- 132,646,920 seconds is equal to 4 years, 11 weeks, 2 days, 6 hours, 22 minutes.
-
To count from 1 to 132,646,920 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 132646920 cubic inches would be around 42.5 feet tall.
Recreational maths with 132646920
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