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198000 = 24325311
BaseRepresentation
bin110000010101110000
3101001121100
4300111300
522314000
64124400
71453155
oct602560
9331540
10198000
11125840
1296700
136c17a
145222c
153da00
hex30570

198000 has 120 divisors (see below), whose sum is σ = 754416. Its totient is φ = 48000.

The previous prime is 197971. The next prime is 198013. The reversal of 198000 is 891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

198000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17995 + ... + 18005.

2198000 is an apocalyptic number.

198000 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 198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208).

198000 is an abundant number, since it is smaller than the sum of its proper divisors (556416).

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

198000 is a wasteful number, since it uses less digits than its factorization.

198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 198000 is about 444.9719092257. The cubic root of 198000 is about 58.2847668325.

Adding to 198000 its reverse (891), we get a palindrome (198891).

The spelling of 198000 in words is "one hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 125 132 144 150 165 176 180 198 200 220 225 240 250 264 275 300 330 360 375 396 400 440 450 495 500 528 550 600 660 720 750 792 825 880 900 990 1000 1100 1125 1200 1320 1375 1500 1584 1650 1800 1980 2000 2200 2250 2475 2640 2750 3000 3300 3600 3960 4125 4400 4500 4950 5500 6000 6600 7920 8250 9000 9900 11000 12375 13200 16500 18000 19800 22000 24750 33000 39600 49500 66000 99000 198000