Base | Representation |
---|---|
bin | 101000010010… |
… | …111011010000 |
3 | 201212200002121 |
4 | 220102323100 |
5 | 10201011110 |
6 | 1014224024 |
7 | 155533510 |
oct | 50227320 |
9 | 21780077 |
10 | 10563280 |
11 | 5a65392 |
12 | 3655014 |
13 | 225b080 |
14 | 158d840 |
15 | dd9cda |
hex | a12ed0 |
10563280 has 80 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3340800.
The previous prime is 10563257. The next prime is 10563313. The reversal of 10563280 is 8236501.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×105632802 = 223165768716800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6555 + ... + 8005.
Almost surely, 210563280 is an apocalyptic number.
10563280 is a gapful number since it is divisible by the number (10) 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 10563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).
10563280 is an abundant number, since it is smaller than the sum of its proper divisors (19684784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10563280 is a wasteful number, since it uses less digits than its factorization.
10563280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
The square root of 10563280 is about 3250.1199977847. The cubic root of 10563280 is about 219.4149746013.
Adding to 10563280 its reverse (8236501), we get a palindrome (18799781).
The spelling of 10563280 in words is "ten million, five hundred sixty-three thousand, two hundred eighty".
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