| Base | Representation |
|---|---|
| bin | 10100000011010… |
| … | …10111001010000 |
| 3 | 102201111221202000 |
| 4 | 22001222321100 |
| 5 | 321030210000 |
| 6 | 24405154000 |
| 7 | 4111522110 |
| oct | 1201527120 |
| 9 | 381457660 |
| 10 | 168210000 |
| 11 | 86a4a732 |
| 12 | 483bb900 |
| 13 | 28b0665a |
| 14 | 184a9040 |
| 15 | eb7a000 |
| hex | a06ae50 |
168210000 has 400 divisors, whose sum is σ = 697276800. Its totient is φ = 38016000.
The previous prime is 168209981. The next prime is 168210011. The reversal of 168210000 is 12861.
168210000 = T401 + T402 + ... + T1023.
168210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889956 + ... + 1890044.
It is an arithmetic number, because the mean of its divisors is an integer number (1743192).
Almost surely, 2168210000 is an apocalyptic number.
168210000 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 168210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348638400).
168210000 is an abundant number, since it is smaller than the sum of its proper divisors (529066800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168210000 is an equidigital number, since it uses as much as digits as its factorization.
168210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 168210000 is about 12969.5797927304. The cubic root of 168210000 is about 552.0146498947.
Adding to 168210000 its reverse (12861), we get a palindrome (168222861).
The spelling of 168210000 in words is "one hundred sixty-eight million, two hundred ten thousand".
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