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20525000 = 2355821
BaseRepresentation
bin100111001001…
…0111111001000
31102121210000012
41032102333020
520223300000
62011531052
7336313436
oct116227710
942553005
1020525000
1110649811
126a59a88
134338392
142a23d56
151c06735
hex1392fc8

20525000 has 48 divisors (see below), whose sum is σ = 48160980. Its totient is φ = 8200000.

The previous prime is 20524991. The next prime is 20525009. The reversal of 20525000 is 52502.

It is an interprime number because it is at equal distance from previous prime (20524991) and next prime (20525009).

It can be written as a sum of positive squares in 6 ways, for example, as 4251844 + 16273156 = 2062^2 + 4034^2 .

It is not an unprimeable number, because it can be changed into a prime (20525009) 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, 24590 + ... + 25410.

Almost surely, 220525000 is an apocalyptic number.

20525000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080490).

20525000 is an abundant number, since it is smaller than the sum of its proper divisors (27635980).

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

20525000 is an frugal number, since it uses more digits than its factorization.

20525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 20525000 is about 4530.4525160297. The cubic root of 20525000 is about 273.7963926850.

Adding to 20525000 its reverse (52502), we get a palindrome (20577502).

The spelling of 20525000 in words is "twenty million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 821 1000 1250 1642 2500 3125 3284 4105 5000 6250 6568 8210 12500 16420 20525 25000 32840 41050 82100 102625 164200 205250 410500 513125 821000 1026250 2052500 2565625 4105000 5131250 10262500 20525000