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20824412 = 2272181587
BaseRepresentation
bin100111101110…
…0000101011100
31110011222201112
41033130011130
520312340122
62022201152
7342001400
oct117340534
943158645
1020824412
1110833764
126b831b8
13441174b
142aa1100
151c652e2
hex13dc15c

20824412 has 36 divisors (see below), whose sum is σ = 42699384. Its totient is φ = 8860320.

The previous prime is 20824403. The next prime is 20824417. The reversal of 20824412 is 21442802.

It is a happy number.

It is a super-2 number, since 2×208244122 = 867312270291488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20824417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35183 + ... + 35769.

It is an arithmetic number, because the mean of its divisors is an integer number (1186094).

Almost surely, 220824412 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 20824412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349692).

20824412 is an abundant number, since it is smaller than the sum of its proper divisors (21874972).

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

20824412 is a wasteful number, since it uses less digits than its factorization.

20824412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 20824412 is about 4563.3772581280. The cubic root of 20824412 is about 275.1213216753.

The spelling of 20824412 in words is "twenty million, eight hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 587 724 1174 1267 2348 2534 4109 5068 8218 8869 16436 17738 28763 35476 57526 106247 115052 212494 424988 743729 1487458 2974916 5206103 10412206 20824412