162 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| Cardinal | one hundred sixty-two | |||
| Ordinal | 162nd (one hundred sixty-second) | |||
| Factorization | 2 × 34 | |||
| Divisors | 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 | |||
| Greek numeral | ΡΞΒ´ | |||
| Roman numeral | CLXII | |||
| Binary | 101000102 | |||
| Ternary | 200003 | |||
| Quaternary | 22024 | |||
| Quinary | 11225 | |||
| Senary | 4306 | |||
| Octal | 2428 | |||
| Duodecimal | 11612 | |||
| Hexadecimal | A216 | |||
| Vigesimal | 8220 | |||
| Base 36 | 4I36 | |||
162 (one hundred [and] sixty-two) is the natural number between 161 and 163.
In mathematics
Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number.[1] 162 is also an abundant number, since its sum of divisors [math]\displaystyle{ 1+2+3+6+9+18+27+54+81 = 201 }[/math] is greater than it.[2] As the product [math]\displaystyle{ 3\times 6\times 9=162 }[/math] of numbers three units apart from each other, it is a triple factorial number.[3]
There are 162 ways of partitioning seven items into subsets of at least two items per subset.[4] 16264 + 1 is a prime number.
In religion
- Jared was 162 when he became the father of Enoch.
In sports
- 162 is the total number of baseball games each team plays during a regular season in Major League Baseball.[5][6]
References
- ↑ Sloane, N. J. A., ed. "Sequence A003586 (3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0)". OEIS Foundation. https://oeis.org/A003586..
- ↑ Sloane, N. J. A., ed. "Sequence A005101 (Abundant numbers)". OEIS Foundation. https://oeis.org/A005101.
- ↑ Sloane, N. J. A., ed. "Sequence A007661 (Triple factorial numbers)". OEIS Foundation. https://oeis.org/A007661.
- ↑ Sloane, N. J. A., ed. "Sequence A000296 (Set partitions without singletons)". OEIS Foundation. https://oeis.org/A000296.
- ↑ Karpin, Howie (2011), 162-0: Imagine a Mets Perfect Season, Triumph Books, ISBN 9781623684440.
- ↑ Formosa, Dan; Hamburger, Paul (2009), Baseball Field Guide: An In-Depth Illustrated Guide to the Complete Rules of Baseball, Da Capo Press, p. 23, ISBN 9780786732098, https://books.google.com/books?id=zI7J1vSbQB0C&pg=PA23.
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