# 35 (number)

35 (thirty-five) is the natural number following 34 and preceding 36.

 List of numbers — Integers << 30 31 32 33 34 35 36 37 38 39 >>
Cardinal thirty-five
Ordinal35th (thirty-fifth)
Factorization[itex]5\cdot 7[itex]
Roman numeralXXXV
Binary100011

## In mathematics

It is the sum of the first five triangular numbers, making it a tetrahedral number. It is also a centered cube number. 35 is a pentagonal number and a pentatope number.

There are 35 hexominos, the polyominos made from 6 squares.

35 is a highly cototient number, since there are more solutions to the equation x - φ(x) = 35 than there are for any other integers below it except 1.

35 is the highest number one can count to on one's fingers using base 6.

## In science

In astronomy,

Messier object M35, a magnitude 5.5 open cluster in the constellation Gemini
The New General Catalogue object (http://www.ngcic.org/) NGC 35, a galaxy in the constellation Cetus
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html) of the solar eclipse series which began on -1870 July 25 and ended on -373 January 9. The duration of Saros series 35 was 1496.5 years, and it contained 84 solar eclipses.
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html) of the lunar eclipse series which began on -1550 May 14 and ended on -252 July 1. The duration of Saros series 35 was 1298.1 years, and it contained 73 lunar eclipses.

## In other fields

35 is also:

• Art and Cultures
• Countries of the World (http://www.academickids.com/encyclopedia/index.php/Countries)
• Space and Astronomy