| Base | Representation |
|---|---|
| bin | 10011100111100… |
| … | …11001111000000 |
| 3 | 102110200020021200 |
| 4 | 21303303033000 |
| 5 | 314112333034 |
| 6 | 24155221200 |
| 7 | 4035600000 |
| oct | 1163631700 |
| 9 | 373606250 |
| 10 | 164574144 |
| 11 | 84996a99 |
| 12 | 47147800 |
| 13 | 28132767 |
| 14 | 17c00000 |
| 15 | e6aca99 |
| hex | 9cf33c0 |
164574144 has 252 divisors, whose sum is σ = 582710544. Its totient is φ = 44255232.
The previous prime is 164574139. The next prime is 164574167. The reversal of 164574144 is 441475461.
It is a happy number.
164574144 is a `hidden beast` number, since 1 + 645 + 7 + 4 + 1 + 4 + 4 = 666.
164574144 is digitally balanced in base 2, 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 (252).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (53760) is a multiple of the sum of its prime factors (70).
It is a junction number, because it is equal to n+sod(n) for n = 164574099 and 164574108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9680824 + ... + 9680840.
Almost surely, 2164574144 is an apocalyptic number.
164574144 is a gapful number since it is divisible by the number (14) 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 164574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291355272).
164574144 is an abundant number, since it is smaller than the sum of its proper divisors (418136400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164574144 is an frugal number, since it uses more digits than its factorization.
164574144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70 (or 29 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 164574144 is about 12828.6454468116. The cubic root of 164574144 is about 548.0083824885.
The spelling of 164574144 in words is "one hundred sixty-four million, five hundred seventy-four thousand, one hundred forty-four".
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