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21208384 = 2617101193
BaseRepresentation
bin101000011100…
…1110101000000
31110220111102201
41100321311000
520412132014
62034322544
7345161011
oct120716500
943814381
1021208384
1110a7619a
127129454
134517452
142b61008
151cdde74
hex1439d40

21208384 has 56 divisors (see below), whose sum is σ = 45235368. Its totient is φ = 9830400.

The previous prime is 21208373. The next prime is 21208387. The reversal of 21208384 is 48380212.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 12446784 = 2960^2 + 3528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21208387) 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, 109792 + ... + 109984.

Almost surely, 221208384 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 21208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617684).

21208384 is an abundant number, since it is smaller than the sum of its proper divisors (24026984).

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

21208384 is a wasteful number, since it uses less digits than its factorization.

21208384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 21208384 is about 4605.2561275134. The cubic root of 21208384 is about 276.8019802280.

Adding to 21208384 its reverse (48380212), we get a palindrome (69588596).

The spelling of 21208384 in words is "twenty-one million, two hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 193 202 272 386 404 544 772 808 1088 1544 1616 1717 3088 3232 3281 3434 6176 6464 6562 6868 12352 13124 13736 19493 26248 27472 38986 52496 54944 77972 104992 109888 155944 209984 311888 331381 623776 662762 1247552 1325524 2651048 5302096 10604192 21208384