| Base | Representation |
|---|---|
| bin | 10100000100101… |
| … | …01110101101100 |
| 3 | 102201211220000211 |
| 4 | 22002111311230 |
| 5 | 321101322100 |
| 6 | 24413032204 |
| 7 | 4113153664 |
| oct | 1202256554 |
| 9 | 381756024 |
| 10 | 168385900 |
| 11 | 8705a901 |
| 12 | 48485664 |
| 13 | 28b68737 |
| 14 | 185131a4 |
| 15 | ebb21ba |
| hex | a095d6c |
168385900 has 36 divisors (see below), whose sum is σ = 368835768. Its totient is φ = 66720640.
The previous prime is 168385897. The next prime is 168385907. The reversal of 168385900 is 9583861.
It is a happy number.
168385900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1683859002 = 56707622637620000, which contains 22 as substring.
168385900 is strictly pandigital in base 9.
It is not an unprimeable number, because it can be changed into a prime (168385907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 18568.
It is an arithmetic number, because the mean of its divisors is an integer number (10245438).
Almost surely, 2168385900 is an apocalyptic number.
168385900 is a gapful number since it is divisible by the number (10) 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 168385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184417884).
168385900 is an abundant number, since it is smaller than the sum of its proper divisors (200449868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168385900 is a wasteful number, since it uses less digits than its factorization.
168385900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15858 (or 15851 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 40.
The square root of 168385900 is about 12976.3592736946. The cubic root of 168385900 is about 552.2069998351.
The spelling of 168385900 in words is "one hundred sixty-eight million, three hundred eighty-five thousand, nine hundred".
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