Base | Representation |
---|---|
bin | 100110101110… |
… | …100001100000 |
3 | 201002202222012 |
4 | 212232201200 |
5 | 10044331112 |
6 | 1001332052 |
7 | 152201522 |
oct | 46564140 |
9 | 21082865 |
10 | 10152032 |
11 | 5804410 |
12 | 3497028 |
13 | 2145b27 |
14 | 14c3a12 |
15 | d58022 |
hex | 9ae860 |
10152032 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 4560000.
The previous prime is 10152031. The next prime is 10152073. The reversal of 10152032 is 23025101.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 10151998 and 10152016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10152031) 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, 53057 + ... + 53247.
It is an arithmetic number, because the mean of its divisors is an integer number (459648).
Almost surely, 210152032 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 10152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).
10152032 is an abundant number, since it is smaller than the sum of its proper divisors (11911072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10152032 is a wasteful number, since it uses less digits than its factorization.
10152032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 363 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 14.
The square root of 10152032 is about 3186.2253529843. The cubic root of 10152032 is about 216.5297923148.
Adding to 10152032 its reverse (23025101), we get a palindrome (33177133).
The spelling of 10152032 in words is "ten million, one hundred fifty-two thousand, thirty-two".
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