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66030 = 2353171
BaseRepresentation
bin10000000111101110
310100120120
4100013232
54103110
61225410
7363336
oct200756
9110516
1066030
1145678
1232266
1324093
141a0c6
1514870
hex101ee

66030 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 16800.

The previous prime is 66029. The next prime is 66037. The reversal of 66030 is 3066.

66030 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 11.

It is a congruent number.

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 in 15 ways as a sum of consecutive naturals, for example, 895 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

266030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

66030 is an abundant number, since it is smaller than the sum of its proper divisors (99858).

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

66030 is a wasteful number, since it uses less digits than its factorization.

66030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 66030 is about 256.9630323607. The cubic root of 66030 is about 40.4185223697.

Adding to 66030 its reverse (3066), we get a palindrome (69096).

The spelling of 66030 in words is "sixty-six thousand, thirty", and thus it is an eban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 1065 2130 2201 4402 6603 11005 13206 22010 33015 66030