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198450 = 2345272
BaseRepresentation
bin110000011100110010
3101002020000
4300130302
522322300
64130430
71454400
oct603462
9332200
10198450
1112610a
1296a16
136c435
1452470
153dc00
hex30732

198450 has 90 divisors (see below), whose sum is σ = 641421. Its totient is φ = 45360.

The previous prime is 198439. The next prime is 198461. The reversal of 198450 is 54891.

198450 = T6 + T7 + ... + T105.

It is an interprime number because it is at equal distance from previous prime (198439) and next prime (198461).

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 3969 = 441^2 + 63^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28347 + ... + 28353.

198450 is a Friedman number, since it can be written as 810*49*5, using all its digits and the basic arithmetic operations.

2198450 is an apocalyptic number.

198450 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 198450

198450 is an abundant number, since it is smaller than the sum of its proper divisors (442971).

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

198450 is a wasteful number, since it uses less digits than its factorization.

198450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 198450 is about 445.4772721475. The cubic root of 198450 is about 58.3288885502.

The spelling of 198450 in words is "one hundred ninety-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 81 90 98 105 126 135 147 150 162 175 189 210 225 245 270 294 315 350 378 405 441 450 490 525 567 630 675 735 810 882 945 1050 1134 1225 1323 1350 1470 1575 1890 2025 2205 2450 2646 2835 3150 3675 3969 4050 4410 4725 5670 6615 7350 7938 9450 11025 13230 14175 19845 22050 28350 33075 39690 66150 99225 198450