Base | Representation |
---|---|
bin | 100110100111… |
… | …101111000000 |
3 | 201001100211021 |
4 | 212213233000 |
5 | 10042433344 |
6 | 1000555224 |
7 | 152024455 |
oct | 46475700 |
9 | 21040737 |
10 | 10124224 |
11 | 5795530 |
12 | 3482b14 |
13 | 2136286 |
14 | 14b782c |
15 | d4eb84 |
hex | 9a7bc0 |
10124224 has 56 divisors (see below), whose sum is σ = 22329648. Its totient is φ = 4515840.
The previous prime is 10124203. The next prime is 10124237. The reversal of 10124224 is 42242101.
10124224 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 (16).
It is a junction number, because it is equal to n+sod(n) for n = 10124198 and 10124207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51294 + ... + 51490.
Almost surely, 210124224 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 10124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164824).
10124224 is an abundant number, since it is smaller than the sum of its proper divisors (12205424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10124224 is a wasteful number, since it uses less digits than its factorization.
10124224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 293 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 10124224 is about 3181.8585763670. The cubic root of 10124224 is about 216.3319085621.
Adding to 10124224 its reverse (42242101), we get a palindrome (52366325).
The spelling of 10124224 in words is "ten million, one hundred twenty-four thousand, two hundred twenty-four".
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