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66934080 = 2633561127
BaseRepresentation
bin1111111101010…
…1010101000000
311122221121022000
43333111111000
5114113342310
610350344000
71441634043
oct377252500
9148847260
1066934080
1134867624
121a4bb000
1310b37185
148c64c5a
155d224c0
hex3fd5540

66934080 has 224 divisors, whose sum is σ = 241889280. Its totient is φ = 17418240.

The previous prime is 66934069. The next prime is 66934121. The reversal of 66934080 is 8043966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526977 + ... + 527103.

Almost surely, 266934080 is an apocalyptic number.

66934080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

66934080 is an abundant number, since it is smaller than the sum of its proper divisors (174955200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66934080 is a wasteful number, since it uses less digits than its factorization.

66934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66934080 is about 8181.3250760497. The cubic root of 66934080 is about 406.0215637232.

The spelling of 66934080 in words is "sixty-six million, nine hundred thirty-four thousand, eighty".