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20132757 = 322977137
BaseRepresentation
bin100110011001…
…1001110010101
31101212211221200
41030303032111
520123222012
61555303113
7333061041
oct114631625
941784850
1020132757
1110401047
1268aaa99
13422b998
142961021
151b7a3dc
hex1333395

20132757 has 12 divisors (see below), whose sum is σ = 30083820. Its totient is φ = 12958848.

The previous prime is 20132713. The next prime is 20132803. The reversal of 20132757 is 75723102.

It can be written as a sum of positive squares in 2 ways, for example, as 15634116 + 4498641 = 3954^2 + 2121^2 .

It is not a de Polignac number, because 20132757 - 219 = 19608469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20132757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130757) 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, 38308 + ... + 38829.

It is an arithmetic number, because the mean of its divisors is an integer number (2506985).

Almost surely, 220132757 is an apocalyptic number.

It is an amenable number.

20132757 is a deficient number, since it is larger than the sum of its proper divisors (9951063).

20132757 is a wasteful number, since it uses less digits than its factorization.

20132757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77172 (or 77169 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 20132757 is about 4486.9540893573. The cubic root of 20132757 is about 272.0410342144.

Adding to 20132757 its reverse (75723102), we get a palindrome (95855859).

The spelling of 20132757 in words is "twenty million, one hundred thirty-two thousand, seven hundred fifty-seven".

Divisors: 1 3 9 29 87 261 77137 231411 694233 2236973 6710919 20132757