Base | Representation |
---|---|
bin | 10011010100111… |
… | …11000010011100 |
3 | 102022002011110111 |
4 | 21222133002130 |
5 | 313001211444 |
6 | 24031015404 |
7 | 4006046260 |
oct | 1152370234 |
9 | 368064414 |
10 | 162132124 |
11 | 835792a0 |
12 | 4636a564 |
13 | 2778908b |
14 | 177660a0 |
15 | e379234 |
hex | 9a9f09c |
162132124 has 48 divisors (see below), whose sum is σ = 358638336. Its totient is φ = 62294400.
The previous prime is 162132119. The next prime is 162132133. The reversal of 162132124 is 421231261.
162132124 is digitally balanced in base 2, 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 (22).
It is a junction number, because it is equal to n+sod(n) for n = 162132095 and 162132104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18879 + ... + 26089.
It is an arithmetic number, because the mean of its divisors is an integer number (7471632).
Almost surely, 2162132124 is an apocalyptic number.
162132124 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 162132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179319168).
162132124 is an abundant number, since it is smaller than the sum of its proper divisors (196506212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
162132124 is a wasteful number, since it uses less digits than its factorization.
162132124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7306 (or 7304 counting only the distinct ones).
The product of its digits is 576, while the sum is 22.
The square root of 162132124 is about 12733.1113244171. Note that the first 3 decimals coincide. The cubic root of 162132124 is about 545.2843383442.
Adding to 162132124 its reverse (421231261), we get a palindrome (583363385).
The spelling of 162132124 in words is "one hundred sixty-two million, one hundred thirty-two thousand, one hundred twenty-four".
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