Base | Representation |
---|---|
bin | 11111000001011110101000 |
3 | 120022011201110 |
4 | 133001132220 |
5 | 4040220040 |
6 | 450150320 |
7 | 126060654 |
oct | 37013650 |
9 | 16264643 |
10 | 8132520 |
11 | 46550a0 |
12 | 28823a0 |
13 | 18b9856 |
14 | 1119a64 |
15 | aa9980 |
hex | 7c17a8 |
8132520 has 128 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 1920000.
The previous prime is 8132503. The next prime is 8132521. The reversal of 8132520 is 252318.
8132520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×81325203 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.
It is a nialpdrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8132521) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80470 + ... + 80570.
It is an arithmetic number, because the mean of its divisors is an integer number (213435).
Almost surely, 28132520 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 8132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).
8132520 is an abundant number, since it is smaller than the sum of its proper divisors (19187160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8132520 is a wasteful number, since it uses less digits than its factorization.
8132520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187 (or 183 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 21.
The square root of 8132520 is about 2851.7573529317. The cubic root of 8132520 is about 201.0982910768.
Adding to 8132520 its reverse (252318), we get a palindrome (8384838).
It can be divided in two parts, 813 and 2520, that added together give a palindrome (3333).
The spelling of 8132520 in words is "eight million, one hundred thirty-two thousand, five hundred twenty".
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