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20635232 = 2523353
BaseRepresentation
bin100111010110…
…1111001100000
31102211101012212
41032231321200
520240311412
62014141252
7340253012
oct116557140
942741185
1020635232
1110714612
126ab1828
1343765c7
142a521b2
151c29222
hex13ade60

20635232 has 48 divisors (see below), whose sum is σ = 43273440. Its totient is φ = 9682816.

The previous prime is 20635231. The next prime is 20635261. The reversal of 20635232 is 23253602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 20635198 and 20635207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20635231) 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, 389318 + ... + 389370.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 220635232 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 20635232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636720).

20635232 is an abundant number, since it is smaller than the sum of its proper divisors (22638208).

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

20635232 is an frugal number, since it uses more digits than its factorization.

20635232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 20635232 is about 4542.6018975913. The cubic root of 20635232 is about 274.2856700562.

Adding to 20635232 its reverse (23253602), we get a palindrome (43888834).

The spelling of 20635232 in words is "twenty million, six hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 529 736 848 1058 1219 1696 2116 2438 4232 4876 8464 9752 12167 16928 19504 24334 28037 39008 48668 56074 97336 112148 194672 224296 389344 448592 644851 897184 1289702 2579404 5158808 10317616 20635232