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196812 = 223271171
BaseRepresentation
bin110000000011001100
3100222222100
4300003030
522244222
64115100
71446540
oct600314
9328870
10196812
11124960
1295a90
136b775
1451a20
153d4ac
hex300cc

196812 has 72 divisors (see below), whose sum is σ = 628992. Its totient is φ = 50400.

The previous prime is 196799. The next prime is 196817. The reversal of 196812 is 218691.

196812 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2 and base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2737 + ... + 2807.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2196812 is an apocalyptic number.

196812 is a gapful number since it is divisible by the number (12) 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 196812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

196812 is an abundant number, since it is smaller than the sum of its proper divisors (432180).

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

196812 is a wasteful number, since it uses less digits than its factorization.

196812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 196812 is about 443.6349850947. The cubic root of 196812 is about 58.1679633795.

It can be divided in two parts, 19681 and 2, that added together give a 9-th power (19683 = 39).

The spelling of 196812 in words is "one hundred ninety-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 639 693 781 852 924 994 1278 1386 1491 1562 1988 2343 2556 2772 2982 3124 4473 4686 5467 5964 7029 8946 9372 10934 14058 16401 17892 21868 28116 32802 49203 65604 98406 196812