Base | Representation |
---|---|
bin | 111101010010… |
… | …0001111110000 |
3 | 2020110101010012 |
4 | 1322210033300 |
5 | 31211130112 |
6 | 3104354052 |
7 | 540046364 |
oct | 172441760 |
9 | 66411105 |
10 | 32130032 |
11 | 17155850 |
12 | a915928 |
13 | 686c66c |
14 | 43a52a4 |
15 | 2c4a022 |
hex | 1ea43f0 |
32130032 has 40 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 14532800.
The previous prime is 32130013. The next prime is 32130037. The reversal of 32130032 is 23003123.
It is a junction number, because it is equal to n+sod(n) for n = 32129989 and 32130016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32130037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54443 + ... + 55029.
Almost surely, 232130032 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 32130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).
32130032 is an abundant number, since it is smaller than the sum of its proper divisors (36115600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32130032 is a wasteful number, since it uses less digits than its factorization.
32130032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 917 (or 911 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 14.
The square root of 32130032 is about 5668.3359110060. The cubic root of 32130032 is about 317.9096561785.
Adding to 32130032 its reverse (23003123), we get a palindrome (55133155).
The spelling of 32130032 in words is "thirty-two million, one hundred thirty thousand, thirty-two".
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