124 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred twenty-four | |||
| Ordinal | 124th (one hundred twenty-fourth) | |||
| Factorization | 22 × 31 | |||
| Divisors | 1, 2, 4, 31, 62, 124 | |||
| Greek numeral | ΡΚΔ´ | |||
| Roman numeral | CXXIV | |||
| Binary | 11111002 | |||
| Ternary | 111213 | |||
| Senary | 3246 | |||
| Octal | 1748 | |||
| Duodecimal | A412 | |||
| Hexadecimal | 7C16 | |||
124 (one hundred [and] twenty-four) is the natural number following 123 and preceding 125.
In mathematics
stella octangula
124 is an untouchable number, meaning that it is not the sum of proper divisors of any positive number.[1]
It is a stella octangula number, the number of spheres packed in the shape of a stellated octahedron.[2] It is also an icosahedral number.[3]
There are 124 different polygons of length 12 formed by edges of the integer lattice, counting two polygons as the same only when one is a translated copy of the other.[4]
124 is a perfectly partitioned number, meaning that it divides the
number of partitions of 124. It is the first number to do so after 1, 2, and 3.[5]
See also
- The year AD 124 or 124 BC
- 124th (disambiguation)
- List of highways numbered 124
- All pages with titles containing 124
References
- ^ Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007588 (Stella octangula numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006564 (Icosahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002931 (Number of self-avoiding polygons of length 2n on square lattice (not allowing rotations))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A051177 (Perfectly partitioned numbers: numbers k that divide the number of partitions p(k))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.