240 (number)
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240 (
two hundred [and] forty) is the
natural number following
239 and preceding
241.
Cardinal two hundred [and] forty
Ordinal two hundred [and] fortieth
Factorization Roman numeral CCXL
Binary 11110000
Hexadecimal F0
[edit] In mathematics
With 20 divisors total (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240), more than any previous number, 240 is a
highly composite number, and it is also a
refactorable number or tau number, since with 20 divisors and 20 divides 240. And since it has 31 totient answers, more than any previous integer, 240 is a
highly totient number.
240 is a
semiperfect number.
240 can be expressed as a sum of consecutive primes in two different ways: 240 = 53 + 59 + 61 + 67 = 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43. It can also be expressed as the product of two consecutive integers, 15 and 16, thus 240 is a
pronic number.
Also, being divisible by the sum of its digits, 240 is a
Harshad number, and not only that, it is also a concatenation of two of its proper divisors (see Sloane's A50480).
E8 has 240 roots.
There are 240 distinct solutions of the
Soma cube puzzle.
[edit] In other fields
240 is: