Base | Representation |
---|---|
bin | 100111000110… |
… | …111100000000 |
3 | 201021212010220 |
4 | 213012330000 |
5 | 10111031112 |
6 | 1003423040 |
7 | 153066210 |
oct | 47067400 |
9 | 21255126 |
10 | 10252032 |
11 | 587255a |
12 | 3524a80 |
13 | 217c4bb |
14 | 150c240 |
15 | d7798c |
hex | 9c6f00 |
10252032 has 72 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 2927616.
The previous prime is 10252031. The next prime is 10252049. The reversal of 10252032 is 23025201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10252031) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423 + ... + 6329.
It is an arithmetic number, because the mean of its divisors is an integer number (433328).
Almost surely, 210252032 is an apocalyptic number.
10252032 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 10252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).
10252032 is an abundant number, since it is smaller than the sum of its proper divisors (20947584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10252032 is an equidigital number, since it uses as much as digits as its factorization.
10252032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 10252032 is about 3201.8794480742. The cubic root of 10252032 is about 217.2384277894.
Adding to 10252032 its reverse (23025201), we get a palindrome (33277233).
The spelling of 10252032 in words is "ten million, two hundred fifty-two thousand, thirty-two".
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