9814072356 (number)

9814072356 (number)

9814072356 is 99066 squared, and is the eighty-seventh and largest square number using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 exactly once OEIS|id=A036745.

More generally, it is also the largest distinct-digit perfect power being the 657th such number (OEIS2C|id=A075309). Note that the digital root of both 9814072356 and 657 is 9.

It is the square of the third largest 5-digit strobogrammatic number (99866 and 99166 being larger).

It is also a member of OEIS2C|id=A090516, the sequence of perfect powers where all neighbouring digits are distinct. All the prime digits are adjacent 7,2,3,5 in a cycle, which is equal to the cycle {2357} of the natural order.

9814072356 is a permutation: of order 10 read left to right, and of order 6 ({9},{8},{2,3},{0,6,4,7,1,5}) read right to left.

In base 2 and 3 its last 6 digits are the same (100100).

ee also

*Pandigital numbers

External links

* [http://mathworld.wolfram.com/SquareNumber.html Mathworld]
* [http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A075309 Sloane's Integer Sequences A075309]

References

*Madachy, J. S. "Madachy's Mathematical Recreations." New York: Dover, pp. 159 and 165, 1979.
*David Wells, ed. "Curious and Interesting Numbers" 1988, page 192 and 193


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • 1000000000 (number) — List of numbers – Integers 100000000 1000000000 10000000000 Cardinal One billion (short scale) One thousand million (long scale) Ordinal One billionth (short scale) Factorization 29 · 59 Binary 111011100110101100101000000000 He …   Wikipedia

  • Pandigital number — In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1223334444555567890 is a pandigital number in base 10. The first few pandigital base… …   Wikipedia

  • List of mathematics articles (0-9) — NOTOC 0 −0 (number) −1 (number) −40 (number) Σ compact space Ω consistent theory Γ convergence Δ hyperbolic space Ω logic Ε net Ε quadratic form Μ recursive function yllion 0 (number) Ε₀ 0,1 simple lattice 0.999... ( 2, 3, 7) pretzel knot (2,3,7) …   Wikipedia

  • Nombres 1 000 000 000 à 9 999 999 999 — Cet article recense la plupart des nombres qui ont des propriétés remarquables allant de un milliard (1 000 000 000) à neuf milliards neuf cent quatre vingt dix neuf millions neuf cent quatre vingt dix neuf mille neuf cent quatre… …   Wikipédia en Français

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”