189 (number)

Natural number From Wikipedia, the free encyclopedia

189 (one hundred [and] eighty-nine) is the natural number following 188 and preceding 190.

Cardinalone hundred eighty-nine
Ordinal189th
(one hundred eighty-ninth)
Factorization33 × 7
Divisors1, 3, 7, 9, 21, 27, 63, 189
Quick facts ← 188 189 190 →, Cardinal ...
← 188 189 190 →
Cardinalone hundred eighty-nine
Ordinal189th
(one hundred eighty-ninth)
Factorization33 × 7
Divisors1, 3, 7, 9, 21, 27, 63, 189
Greek numeralΡΠΘ´
Roman numeralCLXXXIX, clxxxix
Binary101111012
Ternary210003
Senary5136
Octal2758
Duodecimal13912
HexadecimalBD16
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In mathematics

189 is a centered cube number[1] and a heptagonal number.[2] The centered cube numbers are the sums of two consecutive cubes, and 189 can be written as sum of two cubes in two ways: 43 + 53 and 63 + (−3)3.[3] The smallest number that can be written as the sum of two positive cubes in two ways is 1729.[4]

The largest prime number that can be represented in 256-bit arithmetic is the "ultra-useful prime" 2256 − 189,[5] used in quasi-Monte Carlo methods[6] and in some cryptographic systems.[7]

See also

References

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