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20512768 = 216313
BaseRepresentation
bin100111001000…
…0000000000000
31102121011020011
41032100000000
520222402033
62011354304
7336232663
oct116200000
942534204
1020512768
1110640601
126a52994
134332943
142a1d6da
151c02ccd
hex1390000

20512768 has 34 divisors (see below), whose sum is σ = 41156294. Its totient is φ = 10223616.

The previous prime is 20512747. The next prime is 20512769. The reversal of 20512768 is 86721502.

It can be written as a sum of positive squares in only one way, i.e., 11075584 + 9437184 = 3328^2 + 3072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20512769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65380 + ... + 65692.

Almost surely, 220512768 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 20512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578147).

20512768 is an abundant number, since it is smaller than the sum of its proper divisors (20643526).

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

20512768 is an frugal number, since it uses more digits than its factorization.

20512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 20512768 is about 4529.1023393163. The cubic root of 20512768 is about 273.7419916619.

The spelling of 20512768 in words is "twenty million, five hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 1024 1252 2048 2504 4096 5008 8192 10016 16384 20032 32768 40064 65536 80128 160256 320512 641024 1282048 2564096 5128192 10256384 20512768