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20480512 = 291317181
BaseRepresentation
bin100111000100…
…0001000000000
31102112111222111
41032020020000
520220334022
62010545104
7336036643
oct116101000
942474874
1020480512
1110619348
126a38194
134321060
142a11a5a
151be8477
hex1388200

20480512 has 80 divisors (see below), whose sum is σ = 46918872. Its totient is φ = 8847360.

The previous prime is 20480503. The next prime is 20480519. The reversal of 20480512 is 21508402.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 10137856 = 3216^2 + 3184^2 .

It is not an unprimeable number, because it can be changed into a prime (20480519) 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, 113062 + ... + 113242.

Almost surely, 220480512 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 20480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

20480512 is an abundant number, since it is smaller than the sum of its proper divisors (26438360).

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

20480512 is a wasteful number, since it uses less digits than its factorization.

20480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 20480512 is about 4525.5399677829. The cubic root of 20480512 is about 273.5984314172.

Adding to 20480512 its reverse (21508402), we get a palindrome (41988914).

The spelling of 20480512 in words is "twenty million, four hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 181 208 221 256 272 362 416 442 512 544 724 832 884 1088 1448 1664 1768 2176 2353 2896 3077 3328 3536 4352 4706 5792 6154 6656 7072 8704 9412 11584 12308 14144 18824 23168 24616 28288 37648 40001 46336 49232 56576 75296 80002 92672 98464 113152 150592 160004 196928 301184 320008 393856 602368 640016 787712 1204736 1280032 1575424 2560064 5120128 10240256 20480512