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66032 = 244127
BaseRepresentation
bin10000000111110000
310100120122
4100013300
54103112
61225412
7363341
oct200760
9110518
1066032
114567a
1232268
1324095
141a0c8
1514872
hex101f0

66032 has 10 divisors (see below), whose sum is σ = 127968. Its totient is φ = 33008.

The previous prime is 66029. The next prime is 66037. The reversal of 66032 is 23066.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 66032.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66032.

It is not an unprimeable number, because it can be changed into a prime (66037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048 + ... + 2079.

266032 is an apocalyptic number.

It is an amenable number.

66032 is a deficient number, since it is larger than the sum of its proper divisors (61936).

66032 is a wasteful number, since it uses less digits than its factorization.

66032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 66032 is about 256.9669239416. The cubic root of 66032 is about 40.4189304479.

Adding to 66032 its sum of digits (17), we get a square (66049 = 2572).

Adding to 66032 its reverse (23066), we get a palindrome (89098).

The spelling of 66032 in words is "sixty-six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 4127 8254 16508 33016 66032