Английская Википедия:786 (number)

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Шаблон:For Шаблон:Infobox number 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 Шаблон:OEIS.

786 might be the largest n for which the value of the central binomial coefficient <math>{}_{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 Шаблон:OEIS2C).

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

In films

The number is often featured in films, mostly due to its auspiciousness in Islamic culture.

References

Шаблон:Reflist

External links

Шаблон:Commons category

Шаблон:Integers