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66082380 = 22357313219
BaseRepresentation
bin1111110000010…
…1011001001100
311121100022222120
43330011121030
5113404114010
610320212540
71431456000
oct374053114
9147308876
1066082380
1134335741
121a16a150
13108c9600
148ac2700
155c04e70
hex3f0564c

66082380 has 288 divisors, whose sum is σ = 245952000. Its totient is φ = 13208832.

The previous prime is 66082369. The next prime is 66082397. The reversal of 66082380 is 8328066.

66082380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3478011 + ... + 3478029.

It is an arithmetic number, because the mean of its divisors is an integer number (854000).

Almost surely, 266082380 is an apocalyptic number.

66082380 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 66082380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976000).

66082380 is an abundant number, since it is smaller than the sum of its proper divisors (179869620).

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

66082380 is a wasteful number, since it uses less digits than its factorization.

66082380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66082380 is about 8129.1069620223. The cubic root of 66082380 is about 404.2920722314.

The spelling of 66082380 in words is "sixty-six million, eighty-two thousand, three hundred eighty".