Wednesday, July 8, 2020

Number of the day: 76700

Henri Cartan was born on this day 116 years ago.

Properties of the number 76700:

76700 = 22 × 52 × 13 × 59 is the 69156th composite number and is not squarefree.
76700 has 4 distinct prime factors, 36 divisors, 15 antidivisors and 27840 totatives.
76700 has an oblong digit sum 20 in base 10.
76700 = 191762 - 191742 = 38402 - 38302 = 14882 - 14622 = 7922 - 7422 = 3842 - 2662 = 3602 - 2302 is the difference of 2 nonnegative squares in 6 ways.
76700 is the difference of 2 positive pentagonal numbers in 6 ways.
76700 is not the sum of 3 positive squares.
767002 = 460202 + 613602 = 188802 + 743402 = 389402 + 660802 = 295002 + 708002 = 214762 + 736322 = 84962 + 762282 = 481442 + 597082 is the sum of 2 positive squares in 7 ways.
767002 is the sum of 3 positive squares.
76700 is a proper divisor of 82720 - 1.
76700 in base 18 = d2d2 and consists of only the digits '2' and 'd'.

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