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836 (number)

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← 835 836 837 →
Cardinaleight hundred thirty-six
Ordinal836th
(eight hundred thirty-sixth)
Factorization22 × 11 × 19
Greek numeralΩΛϚ´
Roman numeralDCCCXXXVI
Binary11010001002
Ternary10102223
Senary35126
Octal15048
Duodecimal59812
Hexadecimal34416

836 (eight hundred [and] thirty-six) is the natural number following 835 and preceding 837.

In mathematics

The factorization of 836 is 22 × 11 × 19, so its proper factors are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, and 418. They sum to 844. As this is greater than 836, it is an abundant number, but no subset sums to 836, so it is not a semiperfect number; therefore it is a weird number.[1] Besides, 836 is the smallest weird number that is also untouchable number, i.e. there is no n such that sum of proper factors of n equals 836.

The square of 836 is the smallest palindromic square with an even number of digits: 698896 (there are neither 2-digit nor 4-digit palindromic squares). Note that this number can be rotated to another palindromic number 968869.

See also

References

  1. ^ "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.