132789120
132,789,120 is an even composite number composed of six prime numbers multiplied together.
132789120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 132789120:
27 × 3 × 5 × 23 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 31 × 97)See below for interesting mathematical facts about the number 132789120 from the Numbermatics database.
Names of 132789120
- Cardinal: 132789120 can be written as One hundred thirty-two million, seven hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3278912 × 108
Factors of 132789120
Divisors of 132789120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 32 40 46 48 60 62 64 69 80 92 93 96 97 115 120 124 128 138 155 160 184 186 192 194 230 240 248 276 291 310 320 345 368 372 384 388 460 465 480 485 496 552 582 620 640 690 713 736 744 776 920 930 960 970 992 1104 1164 1240 1380 1426 1455 1472 1488 1552 1840 1860 1920 1940 1984 2139 2208 2231 2328 2480 2760 2852 2910 2944 2976 3007 3104 3565 3680 3720 3880 3968 4278 4416 4462 4656 4960 5520 5704 5820 5952 6014 6208 6693 7130 7360 7440 7760 8556 8832 8924 9021 9312 9920 10695 11040 11155 11408 11640 11904 12028 12416 13386 14260 14720 14880 15035 15520 17112 17848 18042 18624 19840 21390 22080 22310 22816 23280 24056 26772 28520 29760 30070 31040 33465 34224 35696 36084 37248 42780 44160 44620 45105 45632 46560 48112 53544 57040 59520 60140 62080 66930 68448 69161 71392 72168 85560 89240 90210 91264 93120 96224 107088 114080 120280 133860 136896 138322 142784 144336 171120 178480 180420 186240 192448 207483 214176 228160 240560 267720 273792 276644 285568 288672 342240 345805 356960 360840 384896 414966 428352 456320 481120 535440 553288 577344 684480 691610 713920 721680 829932 856704 962240 1037415 1070880 1106576 1154688 1368960 1383220 1427840 1443360 1659864 1924480 2074830 2141760 2213152 2766440 2886720 3319728 4149660 4283520 4426304 5532880 5773440 6639456 8299320 8852608 11065760 13278912 16598640 22131520 26557824 33197280 44263040 66394560 132789120
- Sum of all divisors σ(n): 460615680
- Sum of proper divisors (its aliquot sum) s(n): 327826560
- 132789120 is an abundant number, because the sum of its proper divisors (327826560) is greater than itself. Its abundance is 195037440
Bases of 132789120
- Binary: 1111110101000110011100000002
- Hexadecimal: 0x7EA3380
- Base-36: 2724QO
Squares and roots of 132789120
- 132789120 squared (1327891202) is 17632950390374400
- 132789120 cubed (1327891203) is 2341463965341473046528000
-
The
square root of 132789120 is 11523.4161601497 -
The
cube root of 132789120 is 510.1769474429
Scales and comparisons
How big is 132789120?- 132,789,120 seconds is equal to 4 years, 11 weeks, 3 days, 21 hours, 52 minutes.
-
To count from 1 to 132,789,120 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 132789120 cubic inches would be around 42.5 feet tall.
Recreational maths with 132789120
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