Saturday, March 18, 2017

Number of the day: 99300

Christian Goldbach was born on this day 327 years ago.

Properties of the number 99300:

99300 = 22 × 3 × 52 × 331 is the 89767th composite number and is not squarefree.
99300 has 4 distinct prime factors, 36 divisors, 13 antidivisors and 26400 totatives.
99300 has a semiprime digit sum 21 in base 10.
99300 has a Fibonacci digit sum 21 in base 10.
99300 has a triangular digit sum 21 in base 10.
99300 = 248262 - 248242 = 82782 - 82722 = 49702 - 49602 = 16702 - 16402 = 10182 - 9682 = 4062 - 2562 is the difference of 2 nonnegative squares in 6 ways.
99300 is the difference of 2 positive pentagonal numbers in 3 ways.
99300 = 442 + 502 + 3082 is the sum of 3 positive squares.
993002 = 595802 + 794402 = 278042 + 953282 is the sum of 2 positive squares in 2 ways.
993002 is the sum of 3 positive squares.
99300 is a divisor of 18110 - 1.
99300 is palindromic in (at least) base 29.
99300 in base 29 = 4224 and consists of only the digits '2' and '4'.
99300 in base 47 = iia and consists of only the digits 'a' and 'i'.

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