Search a number
-
+
195456 = 273509
BaseRepresentation
bin101111101110000000
3100221010010
4233232000
522223311
64104520
71442562
oct575600
9327103
10195456
11123938
1295140
136ac71
1451332
153cda6
hex2fb80

195456 has 32 divisors (see below), whose sum is σ = 520200. Its totient is φ = 65024.

The previous prime is 195443. The next prime is 195457. The reversal of 195456 is 654591.

195456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195457) by changing a digit.

195456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130 + ... + 638.

2195456 is an apocalyptic number.

195456 is a gapful number since it is divisible by the number (16) 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 195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260100).

195456 is an abundant number, since it is smaller than the sum of its proper divisors (324744).

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

195456 is an equidigital number, since it uses as much as digits as its factorization.

195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 195456 is about 442.1040601487. The cubic root of 195456 is about 58.0340663922.

The spelling of 195456 in words is "one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 509 1018 1527 2036 3054 4072 6108 8144 12216 16288 24432 32576 48864 65152 97728 195456