Friday, June 16, 2017

Number of the day: 580667

Properties of the number 580667:

580667 is a cyclic number.
580667 = 29 × 20023 is semiprime and squarefree.
580667 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 560616 totatives.
580667 = 2903342 - 2903332 = 100262 - 99972 is the difference of 2 nonnegative squares in 2 ways.
580667 is the difference of 2 positive pentagonal numbers in 2 ways.
580667 = 52 + 392 + 7612 is the sum of 3 positive squares.
5806672 = 4004602 + 4204832 is the sum of 2 positive squares in 1 way.
5806672 is the sum of 3 positive squares.
580667 is a proper divisor of 563564 - 1.
580667 is an emirpimes in (at least) the following bases: 2, 3, 5, 6, 9, 11, 13, 18, 19, 23, 24, 27, 29, 32, 38, 42, 48, 49, 53, 60, 67, 68, 71, 72, 73, 74, 76, 79, 84, 87, 89, 90, 94, and 98.
580667 is palindromic in (at least) base -93.

The number 580667 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A244246: Number of partitions of n into 10 parts such that every i-th smallest part (counted with multiplicity) is different from i.

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