| Base | Representation |
|---|---|
| bin | 10111011100111… |
| … | …11001111100000 |
| 3 | 111201012020000100 |
| 4 | 23232133033200 |
| 5 | 400331022333 |
| 6 | 31304422400 |
| 7 | 4606141152 |
| oct | 1356371740 |
| 9 | 451166010 |
| 10 | 196735968 |
| 11 | a1063710 |
| 12 | 55a77a00 |
| 13 | 319b3720 |
| 14 | 1c1b2ad2 |
| 15 | 12412213 |
| hex | bb9f3e0 |
196735968 has 288 divisors, whose sum is σ = 698416992. Its totient is φ = 51609600.
The previous prime is 196735967. The next prime is 196736009. The reversal of 196735968 is 869537691.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1967359682 = 77410082209794048, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (196735963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699988 + ... + 700268.
It is an arithmetic number, because the mean of its divisors is an integer number (2425059).
Almost surely, 2196735968 is an apocalyptic number.
196735968 is a gapful number since it is divisible by the number (18) 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 196735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349208496).
196735968 is an abundant number, since it is smaller than the sum of its proper divisors (501681024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196735968 is a wasteful number, since it uses less digits than its factorization.
196735968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338 (or 327 counting only the distinct ones).
The product of its digits is 2449440, while the sum is 54.
The square root of 196735968 is about 14026.2599434062. The cubic root of 196735968 is about 581.6047197279.
It can be divided in two parts, 196 and 735968, that added together give a square (736164 = 8582).
The spelling of 196735968 in words is "one hundred ninety-six million, seven hundred thirty-five thousand, nine hundred sixty-eight".
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