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189660 = 223529109
BaseRepresentation
bin101110010011011100
3100122011110
4232103130
522032120
64022020
71416642
oct562334
9318143
10189660
1111a549
1291910
1368433
144d192
153b2e0
hex2e4dc

189660 has 48 divisors (see below), whose sum is σ = 554400. Its totient is φ = 48384.

The previous prime is 189653. The next prime is 189661. The reversal of 189660 is 66981.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189661) by changing a digit.

189660 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 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2189660 is an apocalyptic number.

189660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 435×436.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

189660 is an abundant number, since it is smaller than the sum of its proper divisors (364740).

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

189660 is a wasteful number, since it uses less digits than its factorization.

189660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 189660 is about 435.4997129735. The cubic root of 189660 is about 57.4546586476.

The spelling of 189660 in words is "one hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 109 116 145 174 218 290 327 348 435 436 545 580 654 870 1090 1308 1635 1740 2180 3161 3270 6322 6540 9483 12644 15805 18966 31610 37932 47415 63220 94830 189660