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20608768 = 28192223
BaseRepresentation
bin100111010011…
…1011100000000
31102210000220201
41032213130000
520233440033
62013414544
7340112605
oct116473400
942700821
1020608768
11106a6744
126a9a454
13436754b
142a466ac
151c2147d
hex13a7700

20608768 has 54 divisors (see below), whose sum is σ = 43610784. Its totient is φ = 9718272.

The previous prime is 20608729. The next prime is 20608771. The reversal of 20608768 is 86780602.

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 5 ways as a sum of consecutive naturals, for example, 92305 + ... + 92527.

Almost surely, 220608768 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 20608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805392).

20608768 is an abundant number, since it is smaller than the sum of its proper divisors (23002016).

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

20608768 is an equidigital number, since it uses as much as digits as its factorization.

20608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 20608768 is about 4539.6880950127. The cubic root of 20608768 is about 274.1683658069.

The spelling of 20608768 in words is "twenty million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 223 256 304 361 446 608 722 892 1216 1444 1784 2432 2888 3568 4237 4864 5776 7136 8474 11552 14272 16948 23104 28544 33896 46208 57088 67792 80503 92416 135584 161006 271168 322012 542336 644024 1084672 1288048 2576096 5152192 10304384 20608768