Base | Representation |
---|---|
bin | 1111000010010… |
… | …0111110110100 |
3 | 11101200002100010 |
4 | 3300210332310 |
5 | 112121103121 |
6 | 10131420220 |
7 | 1364023665 |
oct | 360447664 |
9 | 141602303 |
10 | 63066036 |
11 | 326654a0 |
12 | 19154670 |
13 | 100b16a7 |
14 | 853936c |
15 | 580b376 |
hex | 3c24fb4 |
63066036 has 96 divisors (see below), whose sum is σ = 168892416. Its totient is φ = 18144000.
The previous prime is 63066007. The next prime is 63066043.
63066036 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 63065994 and 63066012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232581 + ... + 232851.
It is an arithmetic number, because the mean of its divisors is an integer number (1759296).
Almost surely, 263066036 is an apocalyptic number.
63066036 is a gapful number since it is divisible by the number (66) 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 63066036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84446208).
63066036 is an abundant number, since it is smaller than the sum of its proper divisors (105826380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63066036 is a wasteful number, since it uses less digits than its factorization.
63066036 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 373 (or 371 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 30.
The square root of 63066036 is about 7941.4127206688. The cubic root of 63066036 is about 398.0446992380.
It can be divided in two parts, 630 and 66036, that added together give a palindrome (66666).
The spelling of 63066036 in words is "sixty-three million, sixty-six thousand, thirty-six".
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