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198090 = 23253171
BaseRepresentation
bin110000010111001010
3101001201200
4300113022
522314330
64125030
71453344
oct602712
9331650
10198090
11125912
1296776
136c219
1452294
153da60
hex305ca

198090 has 48 divisors (see below), whose sum is σ = 539136. Its totient is φ = 50400.

The previous prime is 198083. The next prime is 198091. The reversal of 198090 is 90891.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2198090 is an apocalyptic number.

198090 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 198090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568).

198090 is an abundant number, since it is smaller than the sum of its proper divisors (341046).

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

198090 is a wasteful number, since it uses less digits than its factorization.

198090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 198090 is about 445.0730277157. The cubic root of 198090 is about 58.2935965201.

The spelling of 198090 in words is "one hundred ninety-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 71 90 93 142 155 186 213 279 310 355 426 465 558 639 710 930 1065 1278 1395 2130 2201 2790 3195 4402 6390 6603 11005 13206 19809 22010 33015 39618 66030 99045 198090