786 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| Cardinal | seven hundred eighty-six | |||
| Ordinal | 786th (seven hundred eighty-sixth) | |||
| Factorization | 2 × 3 × 131 | |||
| Greek numeral | ΨΠϚ´ | |||
| Roman numeral | DCCLXXXVI | |||
| Binary | 11000100102 | |||
| Ternary | 10020103 | |||
| Quaternary | 301024 | |||
| Quinary | 111215 | |||
| Senary | 33506 | |||
| Octal | 14228 | |||
| Duodecimal | 55612 | |||
| Hexadecimal | 31216 | |||
| Vigesimal | 1J620 | |||
| Base 36 | LU36 | |||
786 (seven hundred [and] eighty-six) is the natural number following 785 and preceding 787.
In mathematics
786 is:
- a sphenic number.
- a Harshad number in bases 4, 5, 7, 14 and 16.
- the aliquot sum of 510.
- part of the 321329-aliquot tree. The complete aliquot sequence starting at 498 is: 498, 510, 786, 798, 1122, 1470, 2634, 2646, 4194, 4932, 7626, 8502, 9978, 9990, 17370, 28026, 35136, 67226, 33616, 37808, 40312, 35288, 37072, 45264, 79728, 146448, 281166, 281178, 363942, 424638, 526338, 722961, 321329, 1, 0
50 can be partitioned into powers of two in 786 different ways (sequence A000123 in the OEIS).
786 might be the largest n for which the value of the central binomial coefficient [math]\displaystyle{ {}_{2n}\!C_n }[/math] is not divisible by an odd prime squared. If there is a larger such number, it would have to be at least 157450 (see OEIS: A059097).
Area code
786 is a United States telephone area code in Miami-Dade County. As an overlay area code, it shares the same geographic numbering plan area with other codes for a larger pool of telephone numbers.
In other fields
- 80786 - 7th generation x86 like Athlon and Intel Pentium 4
- The USSD code 786, typically dialed as ##786# or *#786#, opens the RTN dialog on some cell phones. "RTN" is 786 when dialed on an E.161 telephone pad.
- In the New General Catalogue, NGC786 is a magnitude 13.5 spiral galaxy in the constellation Aries. Additionally, 786 Bredichina is an asteroid.
- In juggling, 786 as fourhanded Siteswap is also known as French threecount.
In films
The number is often featured in films, mostly due to its auspiciousness in Islamic culture.
- Vijay Verma's (Amitabh Bachchan) coolie number in the 1975 Hindi film Deewaar.
- Raja's (Rajnikanth) coolie number in the 1981 Tamil film Thee, a remake of Deewaar.
- Iqbal Khan's (Amitabh Bachchan) coolie number in the 1983 Hindi film Coolie.
- Bachchan has indicated that he believes the number is auspicious, as he survived a serious injury while wearing this number during the shooting of Coolie.
- Chiranjeevi sported this number in the 1988 Telugu film Khaidi No.786.
- Veer Pratap Singh's (Shahrukh Khan) prisoner number in the 2004 Hindi film Veer-Zaara.
- Sultan's (Ajay Devgan) car in the 2010 Hindi film Once Upon a Time in Mumbaai bears the registration number MRH 786.
- In the 2011 Tamil film Mankatha, in the scene where Vinayak Mahadev (Ajith Kumar) shoots Prem (Premgi Amaren), Prem wears has a gold plate on his chest with the number 786 written on it.
- Ashish R Mohan's 2012 Hindi film Khiladi 786 features Akshay Kumar in the title role. The same film was released in Pakistan without the number 786.[1]
References
External links
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