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20811072 = 2631071013
BaseRepresentation
bin100111101100…
…0110101000000
31110011022102110
41033120311000
520311423242
62022015320
7341614452
oct117306500
943138373
1020811072
1110824737
126b77540
134408659
142a9a2d2
151c6139c
hex13d8d40

20811072 has 56 divisors (see below), whose sum is σ = 55632096. Its totient is φ = 6865408.

The previous prime is 20811041. The next prime is 20811079. The reversal of 20811072 is 27011802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20811079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20038 + ... + 21050.

Almost surely, 220811072 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 20811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816048).

20811072 is an abundant number, since it is smaller than the sum of its proper divisors (34821024).

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

20811072 is a wasteful number, since it uses less digits than its factorization.

20811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 20811072 is about 4561.9153872031. The cubic root of 20811072 is about 275.0625620747.

Adding to 20811072 its reverse (27011802), we get a palindrome (47822874).

The spelling of 20811072 in words is "twenty million, eight hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1013 1284 1712 2026 2568 3039 3424 4052 5136 6078 6848 8104 10272 12156 16208 20544 24312 32416 48624 64832 97248 108391 194496 216782 325173 433564 650346 867128 1300692 1734256 2601384 3468512 5202768 6937024 10405536 20811072