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20085637 = 112131132
BaseRepresentation
bin100110010011…
…1101110000101
31101210110022111
41030213232011
520120220022
61554301021
7332503465
oct114475605
941713274
1020085637
1110379700
126887771
1342133c0
14294bba5
151b6b477
hex1327b85

20085637 has 18 divisors (see below), whose sum is σ = 23988146. Its totient is φ = 16705920.

The previous prime is 20085631. The next prime is 20085643. The reversal of 20085637 is 73658002.

It is an interprime number because it is at equal distance from previous prime (20085631) and next prime (20085643).

It can be written as a sum of positive squares in 3 ways, for example, as 3876961 + 16208676 = 1969^2 + 4026^2 .

It is not a de Polignac number, because 20085637 - 23 = 20085629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20085599 and 20085608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085631) 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 17 ways as a sum of consecutive naturals, for example, 177693 + ... + 177805.

Almost surely, 220085637 is an apocalyptic number.

It is an amenable number.

20085637 is a deficient number, since it is larger than the sum of its proper divisors (3902509).

20085637 is a wasteful number, since it uses less digits than its factorization.

20085637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 20085637 is about 4481.7002354017. The cubic root of 20085637 is about 271.8286343093.

The spelling of 20085637 in words is "twenty million, eighty-five thousand, six hundred thirty-seven".

Divisors: 1 11 13 113 121 143 1243 1469 1573 12769 13673 16159 140459 165997 177749 1545049 1825967 20085637