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90
From OeisWiki
90 is an integer.
Contents
Membership in core sequences
Even numbers | ..., 84, 86, 88, 90, 92, 94, 96, ... | A005843 |
Composite numbers | ..., 86, 87, 88, 90, 91, 92, 93, ... | A002808 |
Abundant numbers | ..., 80, 84, 88, 90, 96, 100, 102, ... | A005101 |
Oblong numbers | ..., 42, 56, 72, 90, 110, 132, 156, ... | A002378 |
Quarter-squares | ..., 64, 72, 81, 90, 100, 110, 121, ... | A002620 |
Numbers that are the sum of two squares | ..., 82, 85, 89, 90, 97, 98, 100, ... | A001481 |
Large Schröder numbers | 1, 2, 6, 22, 90, 394, 1806, 8558, ... | A006318 |
Sequences pertaining to 90
Multiples of 90 | 0, 90, 180, 270, 360, 450, 540, 630, ... | |
Divisors of 90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30 | A018278 |
Partitions of 90
There are 56634173 partitions of 90.
The Goldbach representations of 90 are: 83 + 7 = 79 + 11 = 73 + 17 = 71 + 19 = 67 + 23 = 61 + 29 = 59 + 31 = 53 + 37 = 47 + 43 = 90.
Values for number theoretic functions with 90 as an argument
PLACEHOLDER
Factorization of 90 in some quadratic integer rings
As was mentioned above, 90 is the product of four primes (three distinct) in . But in some quadratic integer rings, some of these primes are further reducible.
2 × 3 2 × 5 | |||
2 × 3 2 × 5 | 2 × 3 2 × 5 | ||
2 × 3 2 × 5 | |||
2 × 3 2 × 5 | |||
Representation of 90 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 1011010 | 10100 | 1122 | 330 | 230 | 156 | 132 | 110 | 90 | 82 | 76 | 6C | 66 | 60 | 5A | 55 | 50 | 4E | 4A |
See also
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
1729 |