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189189 = 33721113
BaseRepresentation
bin101110001100000101
3100121112000
4232030011
522023224
64015513
71415400
oct561405
9317460
10189189
1111a160
1291599
1368160
144cd37
153b0c9
hex2e305

189189 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 90720.

The previous prime is 189187. The next prime is 189199. The reversal of 189189 is 981981.

189189 = 43 + 53 + ... + 293.

It is not a de Polignac number, because 189189 - 21 = 189187 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14547 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2189189 is an apocalyptic number.

It is an amenable number.

189189 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

189189 is a wasteful number, since it uses less digits than its factorization.

189189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 189189 is about 434.9586187214. The cubic root of 189189 is about 57.4070584221.

Adding to 189189 its sum of digits (36), we get a square (189225 = 4352).

It can be divided in two parts, 189 and 189, that added together give a triangular number (378 = T27).

The spelling of 189189 in words is "one hundred eighty-nine thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 91 99 117 143 147 189 231 273 297 351 429 441 539 637 693 819 1001 1287 1323 1617 1911 2079 2457 3003 3861 4851 5733 7007 9009 14553 17199 21021 27027 63063 189189