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20128561 = 174241
BaseRepresentation
bin100110011001…
…0001100110001
31101212122012021
41030302030301
520123103221
61555231441
7333042565
oct114621461
941778167
1020128561
11103a8982
1268a8581
134229abb
14295d6a5
151b79041
hex1332331

20128561 has 10 divisors (see below), whose sum is σ = 21475322. Its totient is φ = 18865920.

The previous prime is 20128553. The next prime is 20128573. The reversal of 20128561 is 16582102.

20128561 is nontrivially palindromic in base 4 and base 16.

It can be written as a sum of positive squares in 5 ways, for example, as 2117025 + 18011536 = 1455^2 + 4244^2 .

It is not a de Polignac number, because 20128561 - 23 = 20128553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20128501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 83401 + ... + 83641.

Almost surely, 220128561 is an apocalyptic number.

It is an amenable number.

20128561 is a deficient number, since it is larger than the sum of its proper divisors (1346761).

20128561 is an frugal number, since it uses more digits than its factorization.

20128561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 20128561 is about 4486.4864872191. The cubic root of 20128561 is about 272.0221336155.

The spelling of 20128561 in words is "twenty million, one hundred twenty-eight thousand, five hundred sixty-one".

Divisors: 1 17 241 289 4097 4913 69649 83521 1184033 20128561