| Base | Representation |
|---|---|
| bin | 10110111111011… |
| … | …10111100100000 |
| 3 | 111102220201100000 |
| 4 | 23133232330200 |
| 5 | 343333240003 |
| 6 | 31045500000 |
| 7 | 4531231515 |
| oct | 1337567440 |
| 9 | 442821300 |
| 10 | 192868128 |
| 11 | 99961752 |
| 12 | 54711600 |
| 13 | 30c5b06b |
| 14 | 1b88730c |
| 15 | 11deb1a3 |
| hex | b7eef20 |
192868128 has 144 divisors (see below), whose sum is σ = 602652960. Its totient is φ = 60466176.
The previous prime is 192868127. The next prime is 192868177. The reversal of 192868128 is 821868291.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1928681282 = 74396229596448768, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (192868127) 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 23 ways as a sum of consecutive naturals, for example, 131463 + ... + 132921.
It is an arithmetic number, because the mean of its divisors is an integer number (4185090).
Almost surely, 2192868128 is an apocalyptic number.
192868128 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 192868128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).
192868128 is an abundant number, since it is smaller than the sum of its proper divisors (409784832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192868128 is a wasteful number, since it uses less digits than its factorization.
192868128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1501 (or 1481 counting only the distinct ones).
The product of its digits is 110592, while the sum is 45.
The square root of 192868128 is about 13887.6970013030. The cubic root of 192868128 is about 577.7680051382.
The spelling of 192868128 in words is "one hundred ninety-two million, eight hundred sixty-eight thousand, one hundred twenty-eight".
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