Search a number
-
+
20683424 = 2517193197
BaseRepresentation
bin100111011100…
…1101010100000
31102220211022202
41032321222200
520243332144
62015152332
7340543346
oct116715240
942824282
1020683424
1110747843
126b156a8
134392518
142a65996
151c3864e
hex13b9aa0

20683424 has 48 divisors (see below), whose sum is σ = 43559208. Its totient is φ = 9633792.

The previous prime is 20683423. The next prime is 20683447. The reversal of 20683424 is 42438602.

It can be written as a sum of positive squares in 4 ways, for example, as 20611600 + 71824 = 4540^2 + 268^2 .

It is not an unprimeable number, because it can be changed into a prime (20683423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104894 + ... + 105090.

Almost surely, 220683424 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 20683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21779604).

20683424 is an abundant number, since it is smaller than the sum of its proper divisors (22875784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20683424 is a wasteful number, since it uses less digits than its factorization.

20683424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 20683424 is about 4547.9032531486. The cubic root of 20683424 is about 274.4990284227.

The spelling of 20683424 in words is "twenty million, six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 193 197 272 386 394 544 772 788 1544 1576 3088 3152 3281 3349 6176 6304 6562 6698 13124 13396 26248 26792 38021 52496 53584 76042 104992 107168 152084 304168 608336 646357 1216672 1292714 2585428 5170856 10341712 20683424