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20811232 = 2513192633
BaseRepresentation
bin100111101100…
…0110111100000
31110011022122101
41033120313200
520311424412
62022020144
7341615101
oct117306740
943138571
1020811232
1110824872
126b77654
134408750
142a9a3a8
151c61457
hex13d8de0

20811232 has 48 divisors (see below), whose sum is σ = 46463760. Its totient is φ = 9096192.

The previous prime is 20811229. The next prime is 20811233. The reversal of 20811232 is 23211802.

It is a super-3 number, since 3×208112323 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20811233) 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 7 ways as a sum of consecutive naturals, for example, 6588 + ... + 9220.

It is an arithmetic number, because the mean of its divisors is an integer number (967995).

Almost surely, 220811232 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 20811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23231880).

20811232 is an abundant number, since it is smaller than the sum of its proper divisors (25652528).

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

20811232 is a wasteful number, since it uses less digits than its factorization.

20811232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20811232 is about 4561.9329236630. The cubic root of 20811232 is about 275.0632669863.

The spelling of 20811232 in words is "twenty million, eight hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 2633 3952 5266 7904 10532 21064 34229 42128 50027 68458 84256 100054 136916 200108 273832 400216 547664 650351 800432 1095328 1300702 1600864 2601404 5202808 10405616 20811232