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20132505 = 3251726317
BaseRepresentation
bin100110011001…
…1001010011001
31101212211121100
41030303022121
520123220010
61555302013
7333060231
oct114631231
941784540
1020132505
1110400938
1268aa909
13422b833
142960cc1
151b7a2c0
hex1333299

20132505 has 24 divisors (see below), whose sum is σ = 36950472. Its totient is φ = 10105344.

The previous prime is 20132503. The next prime is 20132509. The reversal of 20132505 is 50523102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 14768649 = 2316^2 + 3843^2 .

It is not a de Polignac number, because 20132505 - 21 = 20132503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12394 + ... + 13923.

It is an arithmetic number, because the mean of its divisors is an integer number (1539603).

Almost surely, 220132505 is an apocalyptic number.

It is an amenable number.

20132505 is a deficient number, since it is larger than the sum of its proper divisors (16817967).

20132505 is a wasteful number, since it uses less digits than its factorization.

20132505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26345 (or 26342 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20132505 is about 4486.9260078588. The cubic root of 20132505 is about 272.0398991715.

Adding to 20132505 its reverse (50523102), we get a palindrome (70655607).

The spelling of 20132505 in words is "twenty million, one hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 26317 78951 131585 236853 394755 447389 1184265 1342167 2236945 4026501 6710835 20132505