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196968 = 23329283
BaseRepresentation
bin110000000101101000
3101000012010
4300011220
522300333
64115520
71450152
oct600550
9330163
10196968
11124a92
1295ba0
136b865
1451ad2
153d563
hex30168

196968 has 32 divisors (see below), whose sum is σ = 511200. Its totient is φ = 63168.

The previous prime is 196961. The next prime is 196991. The reversal of 196968 is 869691.

It is not an unprimeable number, because it can be changed into a prime (196961) by changing a digit.

196968 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 7 ways as a sum of consecutive naturals, for example, 555 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (15975).

2196968 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 196968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255600).

196968 is an abundant number, since it is smaller than the sum of its proper divisors (314232).

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

196968 is a wasteful number, since it uses less digits than its factorization.

196968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 196968 is about 443.8107704867. The cubic root of 196968 is about 58.1833279675.

It can be divided in two parts, 1 and 96968, that added together give a palindrome (96969).

The spelling of 196968 in words is "one hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 283 348 566 696 849 1132 1698 2264 3396 6792 8207 16414 24621 32828 49242 65656 98484 196968