Base | Representation |
---|---|
bin | 100110010001… |
… | …010110110100 |
3 | 200212201002110 |
4 | 212101112310 |
5 | 10032020224 |
6 | 555011020 |
7 | 151163313 |
oct | 46212664 |
9 | 20781073 |
10 | 10032564 |
11 | 5732683 |
12 | 3439a70 |
13 | 2103639 |
14 | 149227a |
15 | d32929 |
hex | 9915b4 |
10032564 has 12 divisors (see below), whose sum is σ = 23409344. Its totient is φ = 3344184.
The previous prime is 10032563. The next prime is 10032569. The reversal of 10032564 is 46523001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (12).
It is a self number, because there is not a number n which added to its sum of digits gives 10032564.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10032563) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418012 + ... + 418035.
Almost surely, 210032564 is an apocalyptic number.
It is an amenable number.
10032564 is an abundant number, since it is smaller than the sum of its proper divisors (13376780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032564 is a wasteful number, since it uses less digits than its factorization.
10032564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 836054 (or 836052 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 10032564 is about 3167.4222958109. The cubic root of 10032564 is about 215.6770723219.
Adding to 10032564 its reverse (46523001), we get a palindrome (56555565).
The spelling of 10032564 in words is "ten million, thirty-two thousand, five hundred sixty-four".
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