132830208
132,830,208 is an even composite number composed of five prime numbers multiplied together.
132830208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 132830208:
210 × 32 × 7 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 71)See below for interesting mathematical facts about the number 132830208 from the Numbermatics database.
Names of 132830208
- Cardinal: 132830208 can be written as One hundred thirty-two million, eight hundred thirty thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.32830208 × 108
Factors of 132830208
Divisors of 132830208
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 71 72 84 87 96 112 116 126 128 142 144 168 174 192 203 213 224 232 252 256 261 284 288 336 348 384 406 426 448 464 497 504 512 522 568 576 609 639 672 696 768 812 852 896 928 994 1008 1024 1044 1136 1152 1218 1278 1344 1392 1491 1536 1624 1704 1792 1827 1856 1988 2016 2059 2088 2272 2304 2436 2556 2688 2784 2982 3072 3248 3408 3584 3654 3712 3976 4032 4118 4176 4473 4544 4608 4872 5112 5376 5568 5964 6177 6496 6816 7168 7308 7424 7952 8064 8236 8352 8946 9088 9216 9744 10224 10752 11136 11928 12354 12992 13632 14413 14616 14848 15904 16128 16472 16704 17892 18176 18531 19488 20448 21504 22272 23856 24708 25984 27264 28826 29232 29696 31808 32256 32944 33408 35784 36352 37062 38976 40896 43239 44544 47712 49416 51968 54528 57652 58464 63616 64512 65888 66816 71568 72704 74124 77952 81792 86478 89088 95424 98832 103936 109056 115304 116928 127232 129717 131776 133632 143136 148248 155904 163584 172956 190848 197664 207872 218112 230608 233856 254464 259434 263552 267264 286272 296496 311808 327168 345912 381696 395328 461216 467712 508928 518868 527104 572544 592992 623616 654336 691824 763392 790656 922432 935424 1037736 1054208 1145088 1185984 1383648 1526784 1581312 1844864 1870848 2075472 2108416 2290176 2371968 2767296 3162624 3689728 4150944 4580352 4743936 5534592 6325248 7379456 8301888 9487872 11069184 14758912 16603776 18975744 22138368 33207552 44276736 66415104 132830208
- Sum of all divisors σ(n): 459838080
- Sum of proper divisors (its aliquot sum) s(n): 327007872
- 132830208 is an abundant number, because the sum of its proper divisors (327007872) is greater than itself. Its abundance is 194177664
Bases of 132830208
- Binary: 1111110101011010100000000002
- Hexadecimal: 0x7EAD400
- Base-36: 2730G0
Squares and roots of 132830208
- 132830208 squared (1328302082) is 17643864157323264
- 132830208 cubed (1328302083) is 2343638145940993880358912
-
The
square root of 132830208 is 11525.1988269183 -
The
cube root of 132830208 is 510.2295621669
Scales and comparisons
How big is 132830208?- 132,830,208 seconds is equal to 4 years, 11 weeks, 4 days, 9 hours, 16 minutes, 48 seconds.
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To count from 1 to 132,830,208 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 132830208 cubic inches would be around 42.5 feet tall.
Recreational maths with 132830208
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"Number 132830208 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 132830208 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/132830208/
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