Monday, December 7, 2015

12,072,015

12/07/2015



12,072,015 = (3^2)(5)(268,267)
It has 12 divisors (1, 3, 5, 9, 15, 45, 268,267, 804,801, 1,341,335 2,414,403, 4,024,005, and 12,072,015), whose sum is σ = 20,924,904.  Its totient is φ = 6,438,384.  The sum of its prime factors is 268278 (or 268275 counting only the distinct ones).  The product of its (nonzero) digits is 140, while the sum is 18.
12,072,015 is a number that cannot be expressed as the sum of three squares.
12,072,015 is digitally balanced in base 2, because in such base it contains all the possible digits an equal number of times.
Almost surely, 212,072,015 is an apocalyptic number.
12,072,015 is a 1,207,203-gonal, 4,024,006-gonal, arithmetic, composite, congruent, deficient, evil, polite, odd, and wasteful number.
It is part of a Pythagorean triple (the short leg of a right triangle): 12,072,015^2 + 294,767,048^2 = 294,767,057^2.

David

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