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20508032 = 27533023
BaseRepresentation
bin100111000111…
…0110110000000
31102120220201202
41032032312000
520222224112
62011320332
7336213116
oct116166600
942526652
1020508032
1110637a96
126a500a8
13433073c
142a1bab6
151c016c2
hex138ed80

20508032 has 32 divisors (see below), whose sum is σ = 41640480. Its totient is φ = 10057216.

The previous prime is 20507999. The next prime is 20508041. The reversal of 20508032 is 23080502.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20507995 and 20508013.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5273 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 220508032 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 20508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820240).

20508032 is an abundant number, since it is smaller than the sum of its proper divisors (21132448).

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

20508032 is an equidigital number, since it uses as much as digits as its factorization.

20508032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 20508032 is about 4528.5794682218. The cubic root of 20508032 is about 273.7209228028.

Adding to 20508032 its reverse (23080502), we get a palindrome (43588534).

The spelling of 20508032 in words is "twenty million, five hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3023 3392 6046 6784 12092 24184 48368 96736 160219 193472 320438 386944 640876 1281752 2563504 5127008 10254016 20508032