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20628141 = 3109199317
BaseRepresentation
bin100111010110…
…0001010101101
31102211000111020
41032230022231
520240100031
62014044353
7340223232
oct116541255
942730436
1020628141
111070a256
126aa96b9
134373301
142a4d789
151c27096
hex13ac2ad

20628141 has 16 divisors (see below), whose sum is σ = 27984000. Its totient is φ = 13514688.

The previous prime is 20628137. The next prime is 20628143. The reversal of 20628141 is 14182602.

It is not a de Polignac number, because 20628141 - 22 = 20628137 is a prime.

It is a super-3 number, since 3×206281413 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628143) 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 15 ways as a sum of consecutive naturals, for example, 64915 + ... + 65231.

It is an arithmetic number, because the mean of its divisors is an integer number (1749000).

Almost surely, 220628141 is an apocalyptic number.

20628141 is the 2873-rd centered pentagonal number.

It is an amenable number.

20628141 is a deficient number, since it is larger than the sum of its proper divisors (7355859).

20628141 is a wasteful number, since it uses less digits than its factorization.

20628141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20628141 is about 4541.8213306998. The cubic root of 20628141 is about 274.2542483513.

The spelling of 20628141 in words is "twenty million, six hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 3 109 199 317 327 597 951 21691 34553 63083 65073 103659 189249 6876047 20628141