Base | Representation |
---|---|
bin | 100110001101… |
… | …111101001000 |
3 | 200211222222110 |
4 | 212031331020 |
5 | 10031044012 |
6 | 554422320 |
7 | 151104561 |
oct | 46157510 |
9 | 20758873 |
10 | 10018632 |
11 | 5723168 |
12 | 34319a0 |
13 | 20ca1b0 |
14 | 148b168 |
15 | d2d73c |
hex | 98df48 |
10018632 has 64 divisors (see below), whose sum is σ = 27276480. Its totient is φ = 3048192.
The previous prime is 10018621. The next prime is 10018633. The reversal of 10018632 is 23681001.
10018632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10018599 and 10018608.
It is not an unprimeable number, because it can be changed into a prime (10018633) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50758 + ... + 50954.
It is an arithmetic number, because the mean of its divisors is an integer number (426195).
Almost surely, 210018632 is an apocalyptic number.
10018632 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 10018632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638240).
10018632 is an abundant number, since it is smaller than the sum of its proper divisors (17257848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10018632 is a wasteful number, since it uses less digits than its factorization.
10018632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 382 (or 378 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 21.
The square root of 10018632 is about 3165.2222670770. Note that the first 4 decimals coincide. The cubic root of 10018632 is about 215.5771907446.
Adding to 10018632 its reverse (23681001), we get a palindrome (33699633).
The spelling of 10018632 in words is "ten million, eighteen thousand, six hundred thirty-two".
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