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195300 = 223252731
BaseRepresentation
bin101111101011100100
3100220220100
4233223210
522222200
64104100
71442250
oct575344
9326810
10195300
11123806
1295030
136ab81
1451260
153cd00
hex2fae4

195300 has 108 divisors (see below), whose sum is σ = 722176. Its totient is φ = 43200.

The previous prime is 195281. The next prime is 195311. The reversal of 195300 is 3591.

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

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

195300 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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6285 + ... + 6315.

2195300 is an apocalyptic number.

195300 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 195300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088).

195300 is an abundant number, since it is smaller than the sum of its proper divisors (526876).

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

195300 is a wasteful number, since it uses less digits than its factorization.

195300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 195300 is about 441.9275958797. The cubic root of 195300 is about 58.0186226367.

Adding to 195300 its reverse (3591), we get a palindrome (198891).

The spelling of 195300 in words is "one hundred ninety-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 31 35 36 42 45 50 60 62 63 70 75 84 90 93 100 105 124 126 140 150 155 175 180 186 210 217 225 252 279 300 310 315 350 372 420 434 450 465 525 558 620 630 651 700 775 868 900 930 1050 1085 1116 1260 1302 1395 1550 1575 1860 1953 2100 2170 2325 2604 2790 3100 3150 3255 3906 4340 4650 5425 5580 6300 6510 6975 7812 9300 9765 10850 13020 13950 16275 19530 21700 27900 32550 39060 48825 65100 97650 195300