Monday, May 1, 2017

Number of the day: 701220

Properties of the number 701220:

701220 = 22 × 3 × 5 × 13 × 29 × 31 is the 644588th composite number and is not squarefree.
701220 has 6 distinct prime factors, 96 divisors, 33 antidivisors and 161280 totatives.
701220 has an oblong digit sum 12 in base 10.
701220 is the difference of 2 nonnegative squares in 16 ways.
701220 is the difference of 2 positive pentagonal numbers in 5 ways.
701220 = 22 + 2602 + 7962 is the sum of 3 positive squares.
7012202 = 4207322 + 5609762 = 1160642 + 6915482 = 822122 + 6963842 = 3731162 + 5937122 = 1726082 + 6796442 = 3437282 + 6111962 = 3560042 + 6041282 = 1919522 + 6744362 = 1588442 + 6829922 = 2827202 + 6417002 = 2697002 + 6472802 = 2511002 + 6547202 = 4836002 + 5077802 is the sum of 2 positive squares in 13 ways.
7012202 is the sum of 3 positive squares.
701220 is a divisor of 5216 - 1.

The number 701220 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A171259: Numbers n such that sigma(n) = 14*phi(n) (where sigma=A000203, phi=A000010).
A249065: Numbers n such that n = concatenate(a, b) and sigma(a) + sigma(b) = phi(n).

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