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189300 = 22352631
BaseRepresentation
bin101110001101110100
3100121200010
4232031310
522024200
64020220
71415616
oct561564
9317603
10189300
1111a251
1291670
1368217
144cdb6
153b150
hex2e374

189300 has 36 divisors (see below), whose sum is σ = 548576. Its totient is φ = 50400.

The previous prime is 189271. The next prime is 189307. The reversal of 189300 is 3981.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189307) by changing a digit.

189300 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 11 ways as a sum of consecutive naturals, for example, 16 + ... + 615.

2189300 is an apocalyptic number.

189300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274288).

189300 is an abundant number, since it is smaller than the sum of its proper divisors (359276).

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

189300 is a wasteful number, since it uses less digits than its factorization.

189300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 189300 is about 435.0861983561. The cubic root of 189300 is about 57.4182834188.

The spelling of 189300 in words is "one hundred eighty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 631 1262 1893 2524 3155 3786 6310 7572 9465 12620 15775 18930 31550 37860 47325 63100 94650 189300