Search a number
-
+
166014 = 23223401
BaseRepresentation
bin101000100001111110
322102201200
4220201332
520303024
63320330
71261002
oct504176
9272650
10166014
11103802
12800a6
135a744
1444702
15342c9
hex2887e

166014 has 24 divisors (see below), whose sum is σ = 376272. Its totient is φ = 52800.

The previous prime is 166013. The next prime is 166021. The reversal of 166014 is 410661.

166014 is a `hidden beast` number, since 1 + 660 + 1 + 4 = 666.

166014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (15678).

2166014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188136).

166014 is an abundant number, since it is smaller than the sum of its proper divisors (210258).

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

166014 is a wasteful number, since it uses less digits than its factorization.

166014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166014 is about 407.4481562113. The cubic root of 166014 is about 54.9601915797.

Adding to 166014 its reverse (410661), we get a palindrome (576675).

The spelling of 166014 in words is "one hundred sixty-six thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 401 414 802 1203 2406 3609 7218 9223 18446 27669 55338 83007 166014