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65 (number)

65 is the natural number following 64 and preceding 66.

Cardinal sixty-five
Ordinal65th (sixty-fifth)
Factorization5 \cdot 13
Roman numeralLXV
Binary1000001
Hexadecimal41

In mathematics

Sixty-five is an octagonal number. It is also a Cullen number. Given 65, the Mertens function returns 0.

This number is the magic constant of 5 by 5 magic square:

\begin{bmatrix}  17 & 24 & 1 & 8 & 15 \\  23 & 5 & 7 & 14 & 16 \\  4 & 6 & 13 & 20 & 22 \\  10 & 12 & 19 & 21 & 3 \\  11 & 18 & 25 & 2 & 9 \end{bmatrix}.

This number is also the magic constant of n-Queens Problem for n = 5.

65 can be expressed as a sum of two squares in two ways, 65 = 82 + 12 = 72 + 42.

In science

In astronomy,

Messier object M65, a magnitude 10.5 galaxy in the constellation Leo
The New General Catalogue object NGC 65 , a spiral galaxy in the constellation Cetus
The Saros number of the solar eclipse series which began on -749 April 24 and ended on 513 May 20. The duration of Saros series 65 was 1262.1 years, and it contained 71 solar eclipses.
The Saros number of the lunar eclipse series which began on -736 August 11 and ended on 797 February 16. The duration of Saros series 65 was 1532.5 years, and it contained 86 lunar eclipses.

In other fields

Sixty-five is also:

10-26-2009 08:16:03
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