Base | Representation |
---|---|
bin | 100110001111… |
… | …110111000000 |
3 | 200212101200100 |
4 | 212033313000 |
5 | 10031321212 |
6 | 554522400 |
7 | 151136403 |
oct | 46176700 |
9 | 20771610 |
10 | 10026432 |
11 | 5729009 |
12 | 3436400 |
13 | 2100900 |
14 | 148dd3a |
15 | d30bdc |
hex | 98fdc0 |
10026432 has 126 divisors (see below), whose sum is σ = 31421832. Its totient is φ = 3055104.
The previous prime is 10026409. The next prime is 10026449. The reversal of 10026432 is 23462001.
It is a happy number.
10026432 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 (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97293 + ... + 97395.
Almost surely, 210026432 is an apocalyptic number.
10026432 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 10026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710916).
10026432 is an abundant number, since it is smaller than the sum of its proper divisors (21395400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10026432 is a wasteful number, since it uses less digits than its factorization.
10026432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 10026432 is about 3166.4541683088. The cubic root of 10026432 is about 215.6331220633.
Adding to 10026432 its reverse (23462001), we get a palindrome (33488433).
The spelling of 10026432 in words is "ten million, twenty-six thousand, four hundred thirty-two".
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