106700400
106,700,400 is an even composite number composed of five prime numbers multiplied together.
106700400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 106700400:
24 × 32 × 52 × 107 × 277
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 107 × 277)See below for interesting mathematical facts about the number 106700400 from the Numbermatics database.
Names of 106700400
- Cardinal: 106700400 can be written as One hundred six million, seven hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.067004 × 108
Factors of 106700400
Divisors of 106700400
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 107 120 144 150 180 200 214 225 240 277 300 321 360 400 428 450 535 554 600 642 720 831 856 900 963 1070 1108 1200 1284 1385 1605 1662 1712 1800 1926 2140 2216 2493 2568 2675 2770 3210 3324 3600 3852 4155 4280 4432 4815 4986 5136 5350 5540 6420 6648 6925 7704 8025 8310 8560 9630 9972 10700 11080 12465 12840 13296 13850 15408 16050 16620 19260 19944 20775 21400 22160 24075 24930 25680 27700 29639 32100 33240 38520 39888 41550 42800 48150 49860 55400 59278 62325 64200 66480 77040 83100 88917 96300 99720 110800 118556 124650 128400 148195 166200 177834 192600 199440 237112 249300 266751 296390 332400 355668 385200 444585 474224 498600 533502 592780 711336 740975 889170 997200 1067004 1185560 1333755 1422672 1481950 1778340 2134008 2222925 2371120 2667510 2963900 3556680 4268016 4445850 5335020 5927800 6668775 7113360 8891700 10670040 11855600 13337550 17783400 21340080 26675100 35566800 53350200 106700400
- Sum of all divisors σ(n): 375089832
- Sum of proper divisors (its aliquot sum) s(n): 268389432
- 106700400 is an abundant number, because the sum of its proper divisors (268389432) is greater than itself. Its abundance is 161689032
Bases of 106700400
- Binary: 1100101110000011110011100002
- Hexadecimal: 0x65C1E70
- Base-36: 1RIYK0
Squares and roots of 106700400
- 106700400 squared (1067004002) is 11384975360160000
- 106700400 cubed (1067004003) is 1214781424919216064000000
-
The
square root of 106700400 is 10329.5885687669 -
The
cube root of 106700400 is 474.3024294409
Scales and comparisons
How big is 106700400?- 106,700,400 seconds is equal to 3 years, 20 weeks, 2 days, 23 hours.
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To count from 1 to 106,700,400 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 106700400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106700400
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