132380820
132,380,820 is an even composite number composed of seven prime numbers multiplied together.
132380820 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132380820:
22 × 32 × 5 × 11 × 13 × 37 × 139
(2 × 2 × 3 × 3 × 5 × 11 × 13 × 37 × 139)See below for interesting mathematical facts about the number 132380820 from the Numbermatics database.
Names of 132380820
- Cardinal: 132380820 can be written as One hundred thirty-two million, three hundred eighty thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3238082 × 108
Factors of 132380820
Divisors of 132380820
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 37 39 44 45 52 55 60 65 66 74 78 90 99 110 111 117 130 132 139 143 148 156 165 180 185 195 198 220 222 234 260 278 286 330 333 370 390 396 407 417 429 444 468 481 495 555 556 572 585 660 666 695 715 740 780 814 834 858 962 990 1110 1170 1221 1251 1287 1332 1390 1430 1443 1529 1628 1665 1668 1716 1807 1924 1980 2035 2085 2145 2220 2340 2405 2442 2502 2574 2780 2860 2886 3058 3330 3614 3663 4070 4170 4290 4329 4587 4810 4884 5004 5143 5148 5291 5421 5772 6105 6116 6255 6435 6660 7215 7228 7326 7645 8140 8340 8580 8658 9035 9174 9620 10286 10582 10842 12210 12510 12870 13761 14430 14652 15290 15429 15873 16263 17316 18070 18315 18348 19877 20572 21164 21645 21684 22935 24420 25020 25715 25740 26455 27105 27522 28860 30580 30858 31746 32526 36140 36630 39754 43290 45870 46287 47619 51430 52910 54210 55044 56573 59631 61716 63492 65052 66859 68805 73260 77145 79365 79508 81315 86580 91740 92574 95238 99385 102860 105820 108420 113146 119262 133718 137610 154290 158730 162630 169719 178893 185148 190476 198770 200577 226292 231435 238095 238524 267436 275220 282865 298155 308580 317460 325260 334295 339438 357786 397540 401154 462870 476190 509157 565730 596310 601731 668590 678876 715572 735449 802308 848595 894465 925740 952380 1002885 1018314 1131460 1192620 1203462 1337180 1470898 1697190 1788930 2005770 2036628 2206347 2406924 2545785 2941796 3008655 3394380 3577860 3677245 4011540 4412694 5091570 6017310 6619041 7354490 8825388 10183140 11031735 12034620 13238082 14708980 22063470 26476164 33095205 44126940 66190410 132380820
- Sum of all divisors σ(n): 487992960
- Sum of proper divisors (its aliquot sum) s(n): 355612140
- 132380820 is an abundant number, because the sum of its proper divisors (355612140) is greater than itself. Its abundance is 223231320
Bases of 132380820
- Binary: 1111110001111111000100101002
- Hexadecimal: 0x7E3F894
- Base-36: 26TDP0
Squares and roots of 132380820
- 132380820 squared (1323808202) is 17524681503872400
- 132380820 cubed (1323808203) is 2319931707721461487368000
-
The
square root of 132380820 is 11505.6864202011 -
The
cube root of 132380820 is 509.6535132133
Scales and comparisons
How big is 132380820?- 132,380,820 seconds is equal to 4 years, 10 weeks, 6 days, 4 hours, 27 minutes.
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To count from 1 to 132,380,820 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 132380820 cubic inches would be around 42.5 feet tall.
Recreational maths with 132380820
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"Number 132380820 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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