| Base | Representation |
|---|---|
| bin | 10011100100010… |
| … | …11001100100000 |
| 3 | 102102212120201120 |
| 4 | 21302023030200 |
| 5 | 314010214000 |
| 6 | 24142132240 |
| 7 | 4032143412 |
| oct | 1162131440 |
| 9 | 372776646 |
| 10 | 164148000 |
| 11 | 84725905 |
| 12 | 46b81080 |
| 13 | 280137c3 |
| 14 | 17b2c9b2 |
| 15 | e6266a0 |
| hex | 9c8b320 |
164148000 has 96 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 43769600.
The previous prime is 164147999. The next prime is 164148001. The reversal of 164148000 is 841461.
It is an interprime number because it is at equal distance from previous prime (164147999) and next prime (164148001).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (164148001) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 5161 + ... + 18839.
It is an arithmetic number, because the mean of its divisors is an integer number (5601960).
Almost surely, 2164148000 is an apocalyptic number.
164148000 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 164148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).
164148000 is an abundant number, since it is smaller than the sum of its proper divisors (373640160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164148000 is a wasteful number, since it uses less digits than its factorization.
164148000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13707 (or 13689 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 164148000 is about 12812.0256009735. The cubic root of 164148000 is about 547.5349741008.
Adding to 164148000 its reverse (841461), we get a palindrome (164989461).
The spelling of 164148000 in words is "one hundred sixty-four million, one hundred forty-eight thousand".
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