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20132525 = 527293967
BaseRepresentation
bin100110011001…
…1001010101101
31101212211122002
41030303022231
520123220100
61555302045
7333060260
oct114631255
941784562
1020132525
1110400956
1268aa925
13422b84a
142960cd7
151b7a2d5
hex13332ad

20132525 has 24 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 13325760.

The previous prime is 20132513. The next prime is 20132569. The reversal of 20132525 is 52523102.

It is not a de Polignac number, because 20132525 - 24 = 20132509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20132497 and 20132506.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3092 + ... + 7058.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 220132525 is an apocalyptic number.

20132525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20132525 is a deficient number, since it is larger than the sum of its proper divisors (9389395).

20132525 is a wasteful number, since it uses less digits than its factorization.

20132525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 20132525 is about 4486.9282365556. The cubic root of 20132525 is about 272.0399892546.

Adding to 20132525 its reverse (52523102), we get a palindrome (72655627).

The spelling of 20132525 in words is "twenty million, one hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 5 7 25 29 35 145 175 203 725 1015 3967 5075 19835 27769 99175 115043 138845 575215 694225 805301 2876075 4026505 20132525