Base | Representation |
---|---|
bin | 111100101101… |
… | …1000000010000 |
3 | 2012220010121002 |
4 | 1321123000100 |
5 | 31122030112 |
6 | 3054121132 |
7 | 534356633 |
oct | 171330020 |
9 | 65803532 |
10 | 31830032 |
11 | 16a70413 |
12 | a7b01a8 |
13 | 6795c50 |
14 | 4327c1a |
15 | 2bdb1c2 |
hex | 1e5b010 |
31830032 has 40 divisors (see below), whose sum is σ = 66959256. Its totient is φ = 14570496.
The previous prime is 31830013. The next prime is 31830037. The reversal of 31830032 is 23003813.
It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 31764496 = 256^2 + 5636^2 .
It is a junction number, because it is equal to n+sod(n) for n = 31829986 and 31830013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31830037) 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, 27938 + ... + 29054.
Almost surely, 231830032 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 31830032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33479628).
31830032 is an abundant number, since it is smaller than the sum of its proper divisors (35129224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31830032 is a wasteful number, since it uses less digits than its factorization.
31830032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 31830032 is about 5641.8110567441. The cubic root of 31830032 is about 316.9171135383.
Adding to 31830032 its reverse (23003813), we get a palindrome (54833845).
The spelling of 31830032 in words is "thirty-one million, eight hundred thirty thousand, thirty-two".
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