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150 (number)

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Natural number
← 149 150 151 →
← 150 151 152 153 154 155 156 157 158 159 → ← 0 100 200 300 400 500 600 700 800 900 →
Cardinalone hundred fifty
Ordinal150th
(one hundred fiftieth)
Factorization2 × 3 × 5
Divisors1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greek numeralΡΝ´
Roman numeralCL, cl
Binary100101102
Ternary121203
Senary4106
Octal2268
Duodecimal10612
Hexadecimal9616

150 (one hundred 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.
  • 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).
  • 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 other fields

150 is also:

References

  1. "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. "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.
Integers
−1
0s
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  •  9 
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