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198240 = 2535759
BaseRepresentation
bin110000011001100000
3101001221020
4300121200
522320430
64125440
71453650
oct603140
9331836
10198240
11125a39
1296880
136c303
1452360
153db10
hex30660

198240 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 44544.

The previous prime is 198223. The next prime is 198241. The reversal of 198240 is 42891.

198240 = 212 + 222 + ... + 842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 198240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198241) by changing a digit.

198240 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, 3331 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2198240 is an apocalyptic number.

198240 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 198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

198240 is an abundant number, since it is smaller than the sum of its proper divisors (527520).

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

198240 is a wasteful number, since it uses less digits than its factorization.

198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 198240 is about 445.2415074990. The cubic root of 198240 is about 58.3083067247.

The spelling of 198240 in words is "one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 59 60 70 80 84 96 105 112 118 120 140 160 168 177 210 224 236 240 280 295 336 354 413 420 472 480 560 590 672 708 826 840 885 944 1120 1180 1239 1416 1652 1680 1770 1888 2065 2360 2478 2832 3304 3360 3540 4130 4720 4956 5664 6195 6608 7080 8260 9440 9912 12390 13216 14160 16520 19824 24780 28320 33040 39648 49560 66080 99120 198240