Base | Representation |
---|---|
bin | 1111000010101… |
… | …0111100000000 |
3 | 11101201022210200 |
4 | 3300222330000 |
5 | 112122343212 |
6 | 10132125200 |
7 | 1364155056 |
oct | 360527400 |
9 | 141638720 |
10 | 63090432 |
11 | 32681859 |
12 | 19166800 |
13 | 100bc822 |
14 | 85441d6 |
15 | 58136dc |
hex | 3c2af00 |
63090432 has 108 divisors (see below), whose sum is σ = 184143960. Its totient is φ = 20772864.
The previous prime is 63090413. The next prime is 63090437. The reversal of 63090432 is 23409036.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 63090396 and 63090405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63090437) 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 11 ways as a sum of consecutive naturals, for example, 320158 + ... + 320354.
Almost surely, 263090432 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 63090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92071980).
63090432 is an abundant number, since it is smaller than the sum of its proper divisors (121053528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63090432 is a wasteful number, since it uses less digits than its factorization.
63090432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 341 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
The square root of 63090432 is about 7942.9485709024. The cubic root of 63090432 is about 398.0960181793.
Adding to 63090432 its reverse (23409036), we get a palindrome (86499468).
The spelling of 63090432 in words is "sixty-three million, ninety thousand, four hundred thirty-two".
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