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66330 = 23251167
BaseRepresentation
bin10000001100011010
310100222200
4100030122
54110310
61231030
7364245
oct201432
9110880
1066330
1145920
1232476
1324264
141a25c
15149c0
hex1031a

66330 has 48 divisors (see below), whose sum is σ = 190944. Its totient is φ = 15840.

The previous prime is 66301. The next prime is 66337. The reversal of 66330 is 3366.

Added to its reverse (3366) it gives a square (69696 = 2642).

66330 is a `hidden beast` number, since 663 + 3 + 0 = 666.

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

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66337) by changing a digit.

66330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (3978).

266330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472).

66330 is an abundant number, since it is smaller than the sum of its proper divisors (124614).

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

66330 is a wasteful number, since it uses less digits than its factorization.

66330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

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

The square root of 66330 is about 257.5461123760. The cubic root of 66330 is about 40.4796422607.

Adding to 66330 its reverse (3366), we get a palindrome (69696).

It can be divided in two parts, 6 and 6330, that added together give a palindrome (6336).

The spelling of 66330 in words is "sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 67 90 99 110 134 165 198 201 330 335 402 495 603 670 737 990 1005 1206 1474 2010 2211 3015 3685 4422 6030 6633 7370 11055 13266 22110 33165 66330