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195328 = 287109
BaseRepresentation
bin101111101100000000
3100220221101
4233230000
522222303
64104144
71442320
oct575400
9326841
10195328
11123831
1295054
136aba3
1451280
153cd1d
hex2fb00

195328 has 36 divisors (see below), whose sum is σ = 449680. Its totient is φ = 82944.

The previous prime is 195319. The next prime is 195329. The reversal of 195328 is 823591.

195328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 195296 and 195305.

It is not an unprimeable number, because it can be changed into a prime (195329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1738 + ... + 1846.

195328 is a Friedman number, since it can be written as 9+(13+5^8)/2, using all its digits and the basic arithmetic operations.

2195328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224840).

195328 is an abundant number, since it is smaller than the sum of its proper divisors (254352).

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

195328 is an equidigital number, since it uses as much as digits as its factorization.

195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 195328 is about 441.9592741419. The cubic root of 195328 is about 58.0213951983.

The spelling of 195328 in words is "one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 256 436 448 763 872 896 1526 1744 1792 3052 3488 6104 6976 12208 13952 24416 27904 48832 97664 195328