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150 (number)

From Wikipedia, the free encyclopedia

150 is the natural number following 149 and preceding 151.


Cardinal One hundred [and]
fifty
Ordinal 150th
Factorization 2 \cdot 3 \cdot 5^2
Divisors 2, 3, 5, 6, 10, 15,
25, 30, 50, 75
Roman numeral CL
Binary 10010110
Hexadecimal 96

One hundred [and] fifty is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.

The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.

150 is a Harshad number.

The 150th anniversary of a town, business, or like organization is called a sesquicentennial. (The prefix "sesqui-" means "and a half".)

One hundred [and] fifty is also:

  • The number of Psalms in the Bible. The last Psalm, Psalm 150, is perhaps the Psalm 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 (Holy Bible, 1 Chronicles 8:40). Also, the number of sons of Parosh and Zechariah at the Census upon return from Babylonia (Ezra 8:3).
  • The model number of the Ford F-150 truck.
  • The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
  • The year AD 150 or 150 BC.

[edit] Other numbers in the 150s

One hundred [and] fifty-one has its own article.


One hundred [and] fifty-two has its own article.


One hundred [and] fifty-three has its own article.


One hundred [and] fifty-four has its own article.


One hundred [and] fifty-five has its own article.


One hundred [and] fifty-six has its own article.


One hundred [and] fifty-seven (157, CLVII) is the natural number following one hundred [and] fifty-six and preceding one hundred [and] fifty-eight. It is the 37th prime number, the next is one hundred [and] sixty-three. The next odd number is 159, a semiprime, thus 157 is a Chen prime.

One hundred fifty-seven is also:


One hundred [and] fifty-eight (158, CLVIII) is the natural number following one hundred [and] fifty-seven and preceding one hundred [and] fifty-eight. It is a composite number, and its factorization is

158 = 2 \cdot 79.

It is a nontotient since there is no integer with 158 coprimes below it.

One hundred [and] fifty-eight is also:


One hundred [and] fifty-nine (159, CLIX) is the natural number following one hundred [and] fifty-eight and preceding one hundred [and] sixty. It is a composite number, and its factorization

159 = 3 \cdot 53.

This number is the sum of three consecutive primes (47 + 53 + 59). Given 159, the Mertens function returns 0. 159 is a Woodall number.

One hundred [and] fifty-nine is also:

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