162 (number): Difference between revisions

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{{Infobox number
| number = 162
| divisor=1, 2, 3, 6, 9, 18, 27, 54, 81, 162
|}}
'''162''' is('''one anhundred [[even]and] sixty-two''') is the [[natural number]] between [[161 (number)|161]] and [[163 (number)|163]].
 
== In mathematics ==
{| border="1" style="float: right; border-collapse: collapse"
Having only 2 and 3 as its prime divisors, 162 is a [[smooth number|3-smooth number]].<ref>{{Cite OEIS|A003586|name=3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0}}.</ref> 162 is also an [[abundant number]], since its sum of divisors <math>1+2+3+6+9+18+27+54+81 = 201</math> is greater than it.<ref>{{Cite OEIS|A005101|Abundant numbers}}</ref> As the product <math>3\times 6\times 9=162</math> of numbers three units apart from each other, it is a triple factorial number.<ref>{{Cite OEIS|A007661|Triple factorial numbers}}</ref>
|-----
| colspan="2" align="center" | {{numbers_160s}}
|-----
| [[Cardinal number|Cardinal]] || one hundred and sixty-two
|-----
| [[Ordinal number|Ordinal]]
| 162nd (one hundred and sixty-second)
|-----
| [[Factorization]]
<td><math>2 \cdot 9^2</math>
|-----
| [[Divisor]]s || 2, 9
|-----
| [[Roman numeral]] || CLXII
|-----
| [[Binary numeral system|Binary]] || 10100010
|-----
| [[Hexadecimal]] || A2
|}
 
There are 162 ways of partitioning seven items into subsets of at least two items per subset.<ref>{{Cite OEIS|A000296|Set partitions without singletons}}</ref> [[oeis:A006316|162<sup>64</sup> + 1 is a prime number]].
'''162''' is an [[even]] [[natural number]] between [[161 (number)|161]] and [[163 (number)|163]].
 
==References==
*162 is divisible by [[Euler's totient function|&phi;]](162); it is an [[untouchable number]].
{{reflist|30em}}
*In [[base 10]], it is a [[Harshad number]].
{{Integers|1}}
*162 is the number of games each team plays during a [[regular season]] in [[Major League Baseball]].
 
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[[Category:Integers]]
 
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[[fr:162 (nombre)]]
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[[vi:162 (số)]]
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