107426400
107,426,400 is an even composite number composed of five prime numbers multiplied together.
107426400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 107426400:
25 × 3 × 52 × 17 × 2633
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 2633)See below for interesting mathematical facts about the number 107426400 from the Numbermatics database.
Names of 107426400
- Cardinal: 107426400 can be written as One hundred seven million, four hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.074264 × 108
Factors of 107426400
Divisors of 107426400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2633 2720 3400 4080 5100 5266 6800 7899 8160 10200 10532 13165 13600 15798 20400 21064 26330 31596 39495 40800 42128 44761 52660 63192 65825 78990 84256 89522 105320 126384 131650 134283 157980 179044 197475 210640 223805 252768 263300 268566 315960 358088 394950 421280 447610 526600 537132 631920 671415 716176 789900 895220 1053200 1074264 1119025 1263840 1342830 1432352 1579800 1790440 2106400 2148528 2238050 2685660 3159600 3357075 3580880 4297056 4476100 5371320 6319200 6714150 7161760 8952200 10742640 13428300 17904400 21485280 26856600 35808800 53713200 107426400
- Sum of all divisors σ(n): 370382544
- Sum of proper divisors (its aliquot sum) s(n): 262956144
- 107426400 is an abundant number, because the sum of its proper divisors (262956144) is greater than itself. Its abundance is 155529744
Bases of 107426400
- Binary: 1100110011100110010011000002
- Hexadecimal: 0x6673260
- Base-36: 1RYIQO
Squares and roots of 107426400
- 107426400 squared (1074264002) is 11540431416960000
- 107426400 cubed (1074264003) is 1239747001570911744000000
-
The
square root of 107426400 is 10364.6707617755 -
The
cube root of 107426400 is 475.3757322591
Scales and comparisons
How big is 107426400?- 107,426,400 seconds is equal to 3 years, 21 weeks, 4 days, 8 hours, 40 minutes.
-
To count from 1 to 107,426,400 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 107426400 cubic inches would be around 39.6 feet tall.
Recreational maths with 107426400
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