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165330 = 232511167
BaseRepresentation
bin101000010111010010
322101210100
4220113102
520242310
63313230
71256004
oct502722
9271710
10165330
11103240
127b816
135a339
1444374
1533ec0
hex285d2

165330 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 39840.

The previous prime is 165317. The next prime is 165331. The reversal of 165330 is 33561.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165331) by changing a digit.

165330 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, 907 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2165330 is an apocalyptic number.

165330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

165330 is an abundant number, since it is smaller than the sum of its proper divisors (306414).

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

165330 is a wasteful number, since it uses less digits than its factorization.

165330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 165330 is about 406.6079192539. The cubic root of 165330 is about 54.8846065515.

Adding to 165330 its product of nonzero digits (270), we get a triangular number (165600 = T575).

Adding to 165330 its reverse (33561), we get a palindrome (198891).

Subtracting from 165330 its reverse (33561), we obtain a square (131769 = 3632).

The spelling of 165330 in words is "one hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 167 198 330 334 495 501 835 990 1002 1503 1670 1837 2505 3006 3674 5010 5511 7515 9185 11022 15030 16533 18370 27555 33066 55110 82665 165330