Search a number
-
+
195930 = 23257311
BaseRepresentation
bin101111110101011010
3100221202200
4233311122
522232210
64111030
71444140
oct576532
9327680
10195930
11124229
1295476
136b247
1451590
153d0c0
hex2fd5a

195930 has 48 divisors (see below), whose sum is σ = 584064. Its totient is φ = 44640.

The previous prime is 195929. The next prime is 195931. The reversal of 195930 is 39591.

It is an interprime number because it is at equal distance from previous prime (195929) and next prime (195931).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 195894 and 195903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195930.

It is not an unprimeable number, because it can be changed into a prime (195931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2195930 is an apocalyptic number.

195930 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 195930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032).

195930 is an abundant number, since it is smaller than the sum of its proper divisors (388134).

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

195930 is a wasteful number, since it uses less digits than its factorization.

195930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 195930 is about 442.6398084222. The cubic root of 195930 is about 58.0809412911.

The spelling of 195930 in words is "one hundred ninety-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 311 315 622 630 933 1555 1866 2177 2799 3110 4354 4665 5598 6531 9330 10885 13062 13995 19593 21770 27990 32655 39186 65310 97965 195930