Base | Representation |
---|---|
bin | 100111111111… |
… | …1001111000000 |
3 | 1110110022012211 |
4 | 1033333033000 |
5 | 20331442014 |
6 | 2025231504 |
7 | 343141213 |
oct | 117771700 |
9 | 43408184 |
10 | 20968384 |
11 | 10921948 |
12 | 7032594 |
13 | 4462138 |
14 | 2adb77a |
15 | 1c92cc4 |
hex | 13ff3c0 |
20968384 has 56 divisors (see below), whose sum is σ = 43653456. Its totient is φ = 9984000.
The previous prime is 20968379. The next prime is 20968397. The reversal of 20968384 is 48386902.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159999 + ... + 160129.
It is an arithmetic number, because the mean of its divisors is an integer number (779526).
Almost surely, 220968384 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 20968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21826728).
20968384 is an abundant number, since it is smaller than the sum of its proper divisors (22685072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20968384 is a wasteful number, since it uses less digits than its factorization.
20968384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 245 (or 235 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 40.
The square root of 20968384 is about 4579.1248072093. The cubic root of 20968384 is about 275.7538938967.
It can be divided in two parts, 2096 and 8384, that multiplied together give a square (17572864 = 41922).
The spelling of 20968384 in words is "twenty million, nine hundred sixty-eight thousand, three hundred eighty-four".
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