Friday, January 29, 2021

Number of the day: 58220

Ernst Eduard Kummer was born on this day 211 years ago.

Properties of the number 58220:

58220 = 22 × 5 × 41 × 71 is the 52322th composite number and is not squarefree.
58220 has 4 distinct prime factors, 24 divisors, 19 antidivisors and 22400 totatives.
58220 has an emirp digit sum 17 in base 10.
58220 = 145562 - 145542 = 29162 - 29062 = 3962 - 3142 = 2762 - 1342 is the difference of 2 nonnegative squares in 4 ways.
58220 is the difference of 2 positive pentagonal numbers in 4 ways.
58220 = 262 + 302 + 2382 is the sum of 3 positive squares.
582202 = 349322 + 465762 = 238562 + 531082 = 377722 + 443042 = 127802 + 568002 is the sum of 2 positive squares in 4 ways.
582202 is the sum of 3 positive squares.
58220 is a proper divisor of 40910 - 1.
58220 is palindromic in (at least) the following bases: 68, and 84.
58220 in base 58 = HHk and consists of only the digits 'H' and 'k'.

The number 58220 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A232967: Irregular triangle read by rows: row n lists the rank sizes of the "electrical" poset EP_n of circular planar graphs with n boundary vertices.

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