| Base | Representation |
|---|---|
| bin | 10011100011011… |
| … | …00000100010100 |
| 3 | 102102122002211100 |
| 4 | 21301230010110 |
| 5 | 313442124000 |
| 6 | 24135310100 |
| 7 | 4031102610 |
| oct | 1161540424 |
| 9 | 372562740 |
| 10 | 164020500 |
| 11 | 84649036 |
| 12 | 46b1b330 |
| 13 | 27c9a767 |
| 14 | 17ad8340 |
| 15 | e5eda00 |
| hex | 9c6c114 |
164020500 has 288 divisors, whose sum is σ = 610541568. Its totient is φ = 36288000.
The previous prime is 164020481. The next prime is 164020513. The reversal of 164020500 is 5020461.
It is a happy number.
164020500 is a `hidden beast` number, since 1 + 640 + 20 + 5 + 0 + 0 = 666.
164020500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 95 ways as a sum of consecutive naturals, for example, 1291437 + ... + 1291563.
It is an arithmetic number, because the mean of its divisors is an integer number (2119936).
Almost surely, 2164020500 is an apocalyptic number.
164020500 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 164020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305270784).
164020500 is an abundant number, since it is smaller than the sum of its proper divisors (446521068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164020500 is a wasteful number, since it uses less digits than its factorization.
164020500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 164020500 is about 12807.0488403847. The cubic root of 164020500 is about 547.3931736283.
Adding to 164020500 its reverse (5020461), we get a palindrome (169040961).
The spelling of 164020500 in words is "one hundred sixty-four million, twenty thousand, five hundred".
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