Wednesday, March 8, 2017

Number of the day: 86127

Properties of the number 86127:

86127 = 3 × 19 × 1511 is a sphenic number and squarefree.
86127 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 54360 totatives.
86127 = 430642 - 430632 = 143562 - 143532 = 22762 - 22572 = 7842 - 7272 is the difference of 2 nonnegative squares in 4 ways.
86127 is the difference of 2 positive pentagonal numbers in 2 ways.
86127 is not the sum of 3 positive squares.
861272 is the sum of 3 positive squares.
86127 is a divisor of 97730 - 1.
86127 is palindromic in (at least) the following bases: 45, 93, and -78.
86127 in base 21 = 9666 and consists of only the digits '6' and '9'.
86127 in base 45 = gNg and consists of only the digits 'N' and 'g'.

The number 86127 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A183629: Number of (n+1)X7 0..2 arrays with every 2x2 subblock summing to 4
A183631: Number of (n+1)X9 0..2 arrays with every 2x2 subblock summing to 4

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