210 (number)

← 209 210 211 →
Cardinal two hundred ten
Ordinal 210th
(two hundred and tenth)
Factorization 2 × 3 × 5 × 7
Divisors 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Roman numeral CCX
Binary 110100102
Ternary 212103
Quaternary 31024
Quinary 13205
Senary 5506
Octal 3228
Duodecimal 15612
Hexadecimal D216
Vigesimal AA20
Base 36 5U36

210 (two hundred [and] ten) is the natural number following 209 and preceding 211.

In mathematics

210 is a composite number, an abundant number, and the product of the first four prime numbers (2, 3, 5, and 7), and thus a primorial. It is also the sum of eight consecutive prime numbers (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 = 210).[1]

It is a triangular number (following 190 and preceding 231), a pentagonal number (following 176 and preceding 247), and the second smallest to be both triangular and pentagonal (the third is 40755).[1]

It is also a idoneal number, a pentatope number, a pronic number, a Harshad number, and an untouchable number. 210 is also the first 71-gonal number, preceding 418.[1] It is the first primorial number greater than 2 which is not adjacent to 2 primes (211 is prime, but 209 is not).

See also

References

  1. 1 2 3 Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (p. 143). London: Penguin Group.
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