Friday, January 11, 2019

Number of the day: 69025

Properties of the number 69025:

69025 = 52 × 11 × 251 is the 62167th composite number and is not squarefree.
69025 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 50000 totatives.
69025 has a semiprime digit sum 22 in base 10.
69025 = 345132 - 345122 = 69052 - 69002 = 31432 - 31322 = 13932 - 13682 = 6552 - 6002 = 2632 - 122 is the difference of 2 nonnegative squares in 6 ways.
69025 is the difference of 2 positive pentagonal numbers in 5 ways.
69025 = 362 + 652 + 2522 is the sum of 3 positive squares.
690252 = 414152 + 552202 = 193272 + 662642 is the sum of 2 positive squares in 2 ways.
690252 is the sum of 3 positive squares.
69025 is a proper divisor of 14910 - 1.
69025 = '6902' + '5' is the concatenation of 2 pentagonal numbers.
69025 is palindromic in (at least) the following bases: 67, and 71.

The number 69025 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A050910: Pure 3-complexes on 8 nodes with n multiple 3-simplexes.
A115004: Main diagonal of array in A114999.
A126155: Symmetric triangle, read by rows of 2*n+1 terms, similar to triangle A008301.
A126157: Main diagonal and central terms of symmetric triangle A126155.
A285925: Number of ordered set partitions of [n] into ten blocks such that equal-sized blocks are ordered with increasing least elements.

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