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195960 = 23352371
BaseRepresentation
bin101111110101111000
3100221210210
4233311320
522232320
64111120
71444212
oct576570
9327723
10195960
11124256
12954a0
136b26b
14515b2
153d0e0
hex2fd78

195960 has 64 divisors (see below), whose sum is σ = 622080. Its totient is φ = 49280.

The previous prime is 195931. The next prime is 195967. The reversal of 195960 is 69591.

195960 is nontrivially palindromic in base 9.

195960 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195967) by changing a digit.

195960 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 15 ways as a sum of consecutive naturals, for example, 2725 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2195960 is an apocalyptic number.

195960 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 195960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

195960 is an abundant number, since it is smaller than the sum of its proper divisors (426120).

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

195960 is a wasteful number, since it uses less digits than its factorization.

195960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 195960 is about 442.6736947233. The cubic root of 195960 is about 58.0839055119.

The spelling of 195960 in words is "one hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 71 92 115 120 138 142 184 213 230 276 284 345 355 426 460 552 568 690 710 852 920 1065 1380 1420 1633 1704 2130 2760 2840 3266 4260 4899 6532 8165 8520 9798 13064 16330 19596 24495 32660 39192 48990 65320 97980 195960