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20304512 = 27415373
BaseRepresentation
bin100110101110…
…1001010000000
31102012120112222
41031131022000
520144221022
62003110212
7334404554
oct115351200
942176488
1020304512
1110509098
126972368
13428bc07
1429a7864
151bb1242
hex135d280

20304512 has 64 divisors (see below), whose sum is σ = 42797160. Its totient is φ = 9584640.

The previous prime is 20304503. The next prime is 20304523. The reversal of 20304512 is 21540302.

It can be written as a sum of positive squares in 4 ways, for example, as 15178816 + 5125696 = 3896^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 278108 + ... + 278180.

Almost surely, 220304512 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 20304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398580).

20304512 is an abundant number, since it is smaller than the sum of its proper divisors (22492648).

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

20304512 is an equidigital number, since it uses as much as digits as its factorization.

20304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20304512 is about 4506.0528181547. The cubic root of 20304512 is about 272.8124497318.

Adding to 20304512 its reverse (21540302), we get a palindrome (41844814).

The spelling of 20304512 in words is "twenty million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 53 64 73 82 106 128 146 164 212 292 328 424 584 656 848 1168 1312 1696 2173 2336 2624 2993 3392 3869 4346 4672 5248 5986 6784 7738 8692 9344 11972 15476 17384 23944 30952 34768 47888 61904 69536 95776 123808 139072 158629 191552 247616 278144 317258 383104 495232 634516 1269032 2538064 5076128 10152256 20304512