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195468 = 223713179
BaseRepresentation
bin101111101110001100
3100221010120
4233232030
522223333
64104540
71442610
oct575614
9327116
10195468
11123949
1295150
136ac80
1451340
153cdb3
hex2fb8c

195468 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 51264.

The previous prime is 195457. The next prime is 195469. The reversal of 195468 is 864591.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (195469) by changing a digit.

195468 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 15 ways as a sum of consecutive naturals, for example, 1003 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2195468 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 195468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

195468 is an abundant number, since it is smaller than the sum of its proper divisors (369012).

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

195468 is a wasteful number, since it uses less digits than its factorization.

195468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 195468 is about 442.1176314059. The cubic root of 195468 is about 58.0352540330.

The spelling of 195468 in words is "one hundred ninety-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 358 364 537 546 716 1074 1092 1253 2148 2327 2506 3759 4654 5012 6981 7518 9308 13962 15036 16289 27924 32578 48867 65156 97734 195468