150 (number)
Natural number
| ||||
---|---|---|---|---|
← 150 151 152 153 154 155 156 157 158 159 →
← 0 100 200 300 400 500 600 700 800 900 → | ||||
Cardinal | one hundred fifty | |||
Ordinal | 150th (one hundred fiftieth) | |||
Factorization | 2 × 3 × 52 | |||
Divisors | 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 | |||
Greek numeral | ΡΝ´ | |||
Roman numeral | CL | |||
Binary | 100101102 | |||
Ternary | 121203 | |||
Senary | 4106 | |||
Octal | 2268 | |||
Duodecimal | 10612 | |||
Hexadecimal | 9616 |
150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.
In mathematics
- 150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.[1]
- 150 is conjectured to be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product of the first m primes).[2]
- The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.
- 150 is a Harshad number and an abundant number.
- 150 degrees is the measure of the internal angle of a regular dodecagon.
In the Bible
- The last numbered Psalm in the Bible, Psalm 150, considered the one most often set to music.
- The number of sons of Ulam, who were combat archers, in the Census of the men of Israel upon return from exile (I Chronicles 8:40)
- In the Book of Genesis, the number of days the waters from the Great Flood persisted on the Earth before subsiding.
Manuscripts
In sports
- In Round 20 of the 2011 AFL season, Geelong inflicted the worst ever defeat on the Gold Coast Suns by 150 points.
In other fields
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Professors_cube.jpg/220px-Professors_cube.jpg)
150 is also:
- The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
- The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology
- The total number of Power Stars in Super Mario 64 DS for the Nintendo DS.
The total number of dragon eggs in Spyro: Year of the Dragon.
See also
- List of highways numbered 150
- United Nations Security Council Resolution 150
- United States Supreme Court cases, Volume 150
References
- ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A123556: Minimal difference of any increasing arithmetic progression of n primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-06-30.
![](http://upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png)
Wikimedia Commons has media related to 150 (number).
- v
- t
- e
| |
| |
| |
| |
| |
| |
| |
| |
|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
200s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
300s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
400s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
500s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
600s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
700s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
800s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
900s | |
---|---|
| |
| |
| |
| |
| |
| |
| |
| |
| |
|
≥1000 | |
---|---|
| |