Base | Representation |
---|---|
bin | 111110111110000 |
3 | 1122020002 |
4 | 13313300 |
5 | 2012430 |
6 | 405132 |
7 | 162665 |
oct | 76760 |
9 | 48202 |
10 | 32240 |
11 | 2224a |
12 | 167a8 |
13 | 118a0 |
14 | ba6c |
15 | 9845 |
hex | 7df0 |
32240 has 40 divisors (see below), whose sum is σ = 83328. Its totient is φ = 11520.
The previous prime is 32237. The next prime is 32251. The reversal of 32240 is 4223.
32240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (40).
32240 is strictly pandigital in base 6.
It is a plaindrome in base 11.
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, 1025 + ... + 1055.
232240 is an apocalyptic number.
32240 is the 104-th octagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).
32240 is an abundant number, since it is smaller than the sum of its proper divisors (51088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32240 is a wasteful number, since it uses less digits than its factorization.
32240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 11.
The square root of 32240 is about 179.5550054997. Note that the first 3 decimals coincide. The cubic root of 32240 is about 31.8271934895.
Adding to 32240 its reverse (4223), we get a palindrome (36463).
It can be divided in two parts, 322 and 40, that multiplied together give a triangular number (12880 = T160).
The spelling of 32240 in words is "thirty-two thousand, two hundred forty".
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