Sunday, October 18, 2020

Number of the day: 271760

Properties of the number 271760:

271760 = 24 × 5 × 43 × 79 is the 247975th composite number and is not squarefree.
271760 has 4 distinct prime factors, 40 divisors, 19 antidivisors and 104832 totatives.
271760 has a prime digit sum 23 in base 10.
271760 = (114 × 115)/2 + … + (145 × 146)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
271760 is the difference of 2 nonnegative squares in 12 ways.
271760 is the difference of 2 positive pentagonal numbers in 4 ways.
271760 = 202 + 962 + 5122 is the sum of 3 positive squares.
2717602 = 1630562 + 2174082 is the sum of 2 positive squares in 1 way.
2717602 is the sum of 3 positive squares.
271760 is a proper divisor of 9474 - 1.

The number 271760 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A200379: Second row of array defined in A056230.

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