| ||||
---|---|---|---|---|
Cardinal | two hundred forty | |||
Ordinal | 240th (two hundred fortieth) | |||
Factorization | 24 × 3 × 5 | |||
Divisors | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 | |||
Greek numeral | ΣΜ´ | |||
Roman numeral | CCXL | |||
Binary | 111100002 | |||
Ternary | 222203 | |||
Senary | 10406 | |||
Octal | 3608 | |||
Duodecimal | 18012 | |||
Hexadecimal | F016 |
240 (two hundred [and] forty) is the natural number following 239 and preceding 241.
240 is a pronic number, since it can be expressed as the product of two consecutive integers, 15 and 16. [1] It is a semiperfect number, [2] equal to the concatenation of two of its proper divisors (24 and 40). [3]
It is also a highly composite number with 20 divisors in total, more than any smaller number; [4] and a refactorable number or tau number, since one of its divisors is 20, which divides 240 evenly. [5]
240 is the aliquot sum of only two numbers: 120 and 57121 (or 2392); and is part of the 12161-aliquot tree that goes: 120, 240, 504, 1056, 1968, 3240, 7650, 14112, 32571, 27333, 12161, 1, 0.
It is the smallest number that can be expressed as a sum of consecutive primes in three different ways: [6]
240 is highly totient, since it has thirty-one totient answers, more than any previous integer. [7]
It is palindromic in bases 19 (CC19), 23 (AA23), 29 (8829), 39 (6639), 47 (5547) and 59 (4459), while a Harshad number in bases 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15 (and 73 other bases).
240 is the algebraic polynomial degree of sixteen-cycle logistic map, [8] [9] [10]
240 is the number of distinct solutions of the Soma cube puzzle. [11]
There are exactly 240 visible pieces of what would be a four-dimensional version of the Rubik's Revenge — a Rubik's Cube. A Rubik's Revenge in three dimensions has 56 (64 – 8) visible pieces, which means a Rubik's Revenge in four dimensions has 240 (256 – 16) visible pieces.
| ||||
---|---|---|---|---|
Cardinal | two hundred forty | |||
Ordinal | 240th (two hundred fortieth) | |||
Factorization | 24 × 3 × 5 | |||
Divisors | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 | |||
Greek numeral | ΣΜ´ | |||
Roman numeral | CCXL | |||
Binary | 111100002 | |||
Ternary | 222203 | |||
Senary | 10406 | |||
Octal | 3608 | |||
Duodecimal | 18012 | |||
Hexadecimal | F016 |
240 (two hundred [and] forty) is the natural number following 239 and preceding 241.
240 is a pronic number, since it can be expressed as the product of two consecutive integers, 15 and 16. [1] It is a semiperfect number, [2] equal to the concatenation of two of its proper divisors (24 and 40). [3]
It is also a highly composite number with 20 divisors in total, more than any smaller number; [4] and a refactorable number or tau number, since one of its divisors is 20, which divides 240 evenly. [5]
240 is the aliquot sum of only two numbers: 120 and 57121 (or 2392); and is part of the 12161-aliquot tree that goes: 120, 240, 504, 1056, 1968, 3240, 7650, 14112, 32571, 27333, 12161, 1, 0.
It is the smallest number that can be expressed as a sum of consecutive primes in three different ways: [6]
240 is highly totient, since it has thirty-one totient answers, more than any previous integer. [7]
It is palindromic in bases 19 (CC19), 23 (AA23), 29 (8829), 39 (6639), 47 (5547) and 59 (4459), while a Harshad number in bases 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15 (and 73 other bases).
240 is the algebraic polynomial degree of sixteen-cycle logistic map, [8] [9] [10]
240 is the number of distinct solutions of the Soma cube puzzle. [11]
There are exactly 240 visible pieces of what would be a four-dimensional version of the Rubik's Revenge — a Rubik's Cube. A Rubik's Revenge in three dimensions has 56 (64 – 8) visible pieces, which means a Rubik's Revenge in four dimensions has 240 (256 – 16) visible pieces.