Base | Representation |
---|---|
bin | 100110011001… |
… | …1010111000000 |
3 | 1101212212201020 |
4 | 1030303113000 |
5 | 20123231222 |
6 | 1555305440 |
7 | 333062463 |
oct | 114632700 |
9 | 41785636 |
10 | 20133312 |
11 | 10401501 |
12 | 68ab280 |
13 | 422c004 |
14 | 29612da |
15 | 1b7a65c |
hex | 13335c0 |
20133312 has 56 divisors (see below), whose sum is σ = 56083200. Its totient is φ = 6356736.
The previous prime is 20133301. The next prime is 20133329. The reversal of 20133312 is 21333102.
It is a junction number, because it is equal to n+sod(n) for n = 20133291 and 20133300.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 889 + ... + 6407.
Almost surely, 220133312 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 20133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041600).
20133312 is an abundant number, since it is smaller than the sum of its proper divisors (35949888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20133312 is a wasteful number, since it uses less digits than its factorization.
20133312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5553 (or 5543 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 20133312 is about 4487.0159348948. The cubic root of 20133312 is about 272.0435339777.
Adding to 20133312 its reverse (21333102), we get a palindrome (41466414).
The spelling of 20133312 in words is "twenty million, one hundred thirty-three thousand, three hundred twelve".
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