| Base | Representation |
|---|---|
| bin | 10011110001000… |
| … | …11011010000000 |
| 3 | 102120000112022200 |
| 4 | 21320203122000 |
| 5 | 314422220112 |
| 6 | 24242033200 |
| 7 | 4052306220 |
| oct | 1170433200 |
| 9 | 376015280 |
| 10 | 165820032 |
| 11 | 85668054 |
| 12 | 47648800 |
| 13 | 2847a881 |
| 14 | 18046080 |
| 15 | e856cdc |
| hex | 9e23680 |
165820032 has 96 divisors (see below), whose sum is σ = 545357280. Its totient is φ = 47374848.
The previous prime is 165820027. The next prime is 165820033. The reversal of 165820032 is 230028561.
165820032 is a `hidden beast` number, since 1 + 658 + 2 + 0 + 0 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 165819978 and 165820005.
It is not an unprimeable number, because it can be changed into a prime (165820033) 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 11 ways as a sum of consecutive naturals, for example, 2218 + ... + 18345.
It is an arithmetic number, because the mean of its divisors is an integer number (5680805).
Almost surely, 2165820032 is an apocalyptic number.
165820032 is a gapful number since it is divisible by the number (12) 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 165820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272678640).
165820032 is an abundant number, since it is smaller than the sum of its proper divisors (379537248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
165820032 is a wasteful number, since it uses less digits than its factorization.
165820032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20590 (or 20575 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 165820032 is about 12877.1127198608. The cubic root of 165820032 is about 549.3877837963.
Adding to 165820032 its reverse (230028561), we get a palindrome (395848593).
The spelling of 165820032 in words is "one hundred sixty-five million, eight hundred twenty thousand, thirty-two".
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