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189390 = 23559107
BaseRepresentation
bin101110001111001110
3100121210110
4232033032
522030030
64020450
71416105
oct561716
9317713
10189390
1111a323
1291726
1368286
144d03c
153b1b0
hex2e3ce

189390 has 32 divisors (see below), whose sum is σ = 466560. Its totient is φ = 49184.

The previous prime is 189389. The next prime is 189391. The reversal of 189390 is 93981.

It is a happy number.

189390 is nontrivially palindromic in base 9 and base 13.

It is an interprime number because it is at equal distance from previous prime (189389) and next prime (189391).

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 (189391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2189390 is an apocalyptic number.

189390 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 189390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280).

189390 is an abundant number, since it is smaller than the sum of its proper divisors (277170).

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

189390 is a wasteful number, since it uses less digits than its factorization.

189390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 189390 is about 435.1896138467. The cubic root of 189390 is about 57.4273815465.

Adding to 189390 its sum of digits (30), we get a triangular number (189420 = T615).

The spelling of 189390 in words is "one hundred eighty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 107 118 177 214 295 321 354 535 590 642 885 1070 1605 1770 3210 6313 12626 18939 31565 37878 63130 94695 189390