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290 (number)

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Cardinaltwo hundred ninety
Ordinal290th
(two hundred ninetieth)
Factorization2 × 5 × 29
Greek numeralΣϞ´
Roman numeralCCXC, ccxc
Binary1001000102
Ternary1012023
Senary12026
Octal4428
Duodecimal20212
Hexadecimal12216

290 (two hundred [and] ninety) is the natural number following 289 and preceding 291.

In mathematics

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The product of three primes, 290 is a sphenic number,[1] and the sum of four consecutive primes (67 + 71 + 73 + 79). The sum of the squares of the divisors of 17 is 290.

Not only is it a nontotient[2] and a noncototient,[3] it is also an untouchable number.[4]

290 is the 16th member of the Mian–Chowla sequence; it can not be obtained as the sum of any two previous terms in the sequence.[5]

See also the Bhargava–Hanke 290 theorem.

References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A007304 (sphenic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005277 (nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A005278 (noncototient)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005114 (untouchable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.