106996736
106,996,736 is an even composite number composed of five prime numbers multiplied together.
106996736 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 106996736:
210 × 7 × 11 × 23 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 23 × 59)See below for interesting mathematical facts about the number 106996736 from the Numbermatics database.
Names of 106996736
- Cardinal: 106996736 can be written as One hundred six million, nine hundred ninety-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.06996736 × 108
Factors of 106996736
Divisors of 106996736
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 59 64 77 88 92 112 118 128 154 161 176 184 224 236 253 256 308 322 352 368 413 448 472 506 512 616 644 649 704 736 826 896 944 1012 1024 1232 1288 1298 1357 1408 1472 1652 1771 1792 1888 2024 2464 2576 2596 2714 2816 2944 3304 3542 3584 3776 4048 4543 4928 5152 5192 5428 5632 5888 6608 7084 7168 7552 8096 9086 9499 9856 10304 10384 10856 11264 11776 13216 14168 14927 15104 16192 18172 18998 19712 20608 20768 21712 23552 26432 28336 29854 30208 32384 36344 37996 39424 41216 41536 43424 52864 56672 59708 60416 64768 72688 75992 78848 82432 83072 86848 104489 105728 113344 119416 129536 145376 151984 164864 166144 173696 208978 211456 226688 238832 259072 290752 303968 332288 347392 417956 422912 453376 477664 581504 607936 664576 694784 835912 906752 955328 1163008 1215872 1389568 1671824 1813504 1910656 2326016 2431744 3343648 3821312 4652032 4863488 6687296 7642624 9726976 13374592 15285248 26749184 53498368 106996736
- Sum of all divisors σ(n): 282977280
- Sum of proper divisors (its aliquot sum) s(n): 175980544
- 106996736 is an abundant number, because the sum of its proper divisors (175980544) is greater than itself. Its abundance is 68983808
Bases of 106996736
- Binary: 1100110000010100100000000002
- Hexadecimal: 0x660A400
- Base-36: 1RPB7K
Squares and roots of 106996736
- 106996736 squared (1069967362) is 11448301514653696
- 106996736 cubed (1069967363) is 1224930894811801642336256
-
The
square root of 106996736 is 10343.9226601903 -
The
cube root of 106996736 is 474.7411124799
Scales and comparisons
How big is 106996736?- 106,996,736 seconds is equal to 3 years, 20 weeks, 6 days, 9 hours, 18 minutes, 56 seconds.
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To count from 1 to 106,996,736 would take you about five 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 106996736 cubic inches would be around 39.6 feet tall.
Recreational maths with 106996736
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