Base | Representation |
---|---|
bin | 100110001111… |
… | …100111010000 |
3 | 200212100022000 |
4 | 212033213100 |
5 | 10031303144 |
6 | 554514000 |
7 | 151133433 |
oct | 46174720 |
9 | 20770260 |
10 | 10025424 |
11 | 5728282 |
12 | 3435900 |
13 | 2100306 |
14 | 148d81a |
15 | d30769 |
hex | 98f9d0 |
10025424 has 80 divisors (see below), whose sum is σ = 30057600. Its totient is φ = 3193344.
The previous prime is 10025423. The next prime is 10025459. The reversal of 10025424 is 42452001.
10025424 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 Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10025397 and 10025406.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10025423) 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, 9432 + ... + 10440.
It is an arithmetic number, because the mean of its divisors is an integer number (375720).
Almost surely, 210025424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028800).
10025424 is an abundant number, since it is smaller than the sum of its proper divisors (20032176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10025424 is a wasteful number, since it uses less digits than its factorization.
10025424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 10025424 is about 3166.2949957324. The cubic root of 10025424 is about 215.6258956485.
Adding to 10025424 its reverse (42452001), we get a palindrome (52477425).
The spelling of 10025424 in words is "ten million, twenty-five thousand, four hundred twenty-four".
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