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20872813 = 134139161
BaseRepresentation
bin100111110011…
…1111001101101
31110021110010011
41033213321231
520320412223
62023213221
7342262453
oct117477155
943243104
1020872813
1110867065
126ba7211
13442a7a0
142ab49d3
151c7480d
hex13e7e6d

20872813 has 8 divisors (see below), whose sum is σ = 23027256. Its totient is φ = 18796800.

The previous prime is 20872807. The next prime is 20872853. The reversal of 20872813 is 31827802.

It can be written as a sum of positive squares in 4 ways, for example, as 243049 + 20629764 = 493^2 + 4542^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20872813 - 221 = 18775661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20872853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19048 + ... + 20113.

It is an arithmetic number, because the mean of its divisors is an integer number (2878407).

Almost surely, 220872813 is an apocalyptic number.

It is an amenable number.

20872813 is a deficient number, since it is larger than the sum of its proper divisors (2154443).

20872813 is a wasteful number, since it uses less digits than its factorization.

20872813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39215.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 20872813 is about 4568.6773797238. The cubic root of 20872813 is about 275.3343063802.

It can be divided in two parts, 2087 and 2813, that added together give a square (4900 = 702).

The spelling of 20872813 in words is "twenty million, eight hundred seventy-two thousand, eight hundred thirteen".

Divisors: 1 13 41 533 39161 509093 1605601 20872813