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66330000 = 2432541167
BaseRepresentation
bin1111110100000…
…1110110010000
311121210220122200
43331001312100
5113440030000
610325403200
71433536632
oct375016620
9147726580
1066330000
1134494790
121a269500
1310985229
148b48a52
155c53500
hex3f41d90

66330000 has 300 divisors, whose sum is σ = 256830288. Its totient is φ = 15840000.

The previous prime is 66329993. The next prime is 66330001. The reversal of 66330000 is 3366.

66330000 = 713 + 723 + ... + 1303.

66330000 is a `hidden beast` number, since 663 + 3 + 0 + 0 + 0 + 0 = 666.

66330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989967 + ... + 990033.

Almost surely, 266330000 is an apocalyptic number.

66330000 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 66330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128415144).

66330000 is an abundant number, since it is smaller than the sum of its proper divisors (190500288).

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

66330000 is a wasteful number, since it uses less digits than its factorization.

66330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 66330000 is about 8144.3231762989. The cubic root of 66330000 is about 404.7964226069.

Adding to 66330000 its reverse (3366), we get a palindrome (66333366).

The spelling of 66330000 in words is "sixty-six million, three hundred thirty thousand".