Base | Representation |
---|---|
bin | 110010001111… |
… | …011101100000 |
3 | 220210010120100 |
4 | 302033131200 |
5 | 11332424103 |
6 | 1150142400 |
7 | 216643020 |
oct | 62173540 |
9 | 26703510 |
10 | 13170528 |
11 | 7486238 |
12 | 44b1a00 |
13 | 2961a17 |
14 | 1a6ba80 |
15 | 12525a3 |
hex | c8f760 |
13170528 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3656448.
The previous prime is 13170527. The next prime is 13170541. The reversal of 13170528 is 82507131.
13170528 is a `hidden beast` number, since 131 + 7 + 0 + 528 = 666.
13170528 is digitally balanced in base 2 and base 8, because in such bases 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 (144).
13170528 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13170527) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94683 + ... + 94821.
It is an arithmetic number, because the mean of its divisors is an integer number (305760).
Almost surely, 213170528 is an apocalyptic number.
13170528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13170528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).
13170528 is an abundant number, since it is smaller than the sum of its proper divisors (30858912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13170528 is a wasteful number, since it uses less digits than its factorization.
13170528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 209 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The square root of 13170528 is about 3629.1222079175. The cubic root of 13170528 is about 236.1571298702.
Adding to 13170528 its reverse (82507131), we get a palindrome (95677659).
The spelling of 13170528 in words is "thirteen million, one hundred seventy thousand, five hundred twenty-eight".
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