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66203072 = 2613471693
BaseRepresentation
bin1111110010001…
…0110111000000
311121120110112122
43330202313000
5113421444242
610322543412
71432500605
oct374426700
9147513478
1066203072
1134408391
121a207b68
131093c520
148b146ac
155c2aad2
hex3f22dc0

66203072 has 56 divisors (see below), whose sum is σ = 144572736. Its totient is φ = 29887488.

The previous prime is 66203063. The next prime is 66203129. The reversal of 66203072 is 27030266.

66203072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 38258 + ... + 39950.

It is an arithmetic number, because the mean of its divisors is an integer number (2581656).

Almost surely, 266203072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286368).

66203072 is an abundant number, since it is smaller than the sum of its proper divisors (78369664).

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

66203072 is a wasteful number, since it uses less digits than its factorization.

66203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 66203072 is about 8136.5270232452. The cubic root of 66203072 is about 404.5380538018.

The spelling of 66203072 in words is "sixty-six million, two hundred three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 1693 2444 3008 3386 4888 6772 9776 13544 19552 22009 27088 39104 44018 54176 79571 88036 108352 159142 176072 318284 352144 636568 704288 1034423 1273136 1408576 2068846 2546272 4137692 5092544 8275384 16550768 33101536 66203072