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196912 = 2431397
BaseRepresentation
bin110000000100110000
3101000010001
4300010300
522300122
64115344
71450042
oct600460
9330101
10196912
11124a41
1295b54
136b821
1451a92
153d527
hex30130

196912 has 20 divisors (see below), whose sum is σ = 394816. Its totient is φ = 95040.

The previous prime is 196907. The next prime is 196919. The reversal of 196912 is 219691.

196912 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (196919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 694.

2196912 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 196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197408).

196912 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

196912 is a wasteful number, since it uses less digits than its factorization.

196912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its digits is 972, while the sum is 28.

The square root of 196912 is about 443.7476760503. The cubic root of 196912 is about 58.1778134081.

It can be divided in two parts, 19 and 6912, that multiplied together give a triangular number (131328 = T512).

The spelling of 196912 in words is "one hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 397 496 794 1588 3176 6352 12307 24614 49228 98456 196912