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872660241 = 32113858073
BaseRepresentation
bin110100000000111…
…011110100010001
32020211001201210200
4310000323310101
53241400111431
6222332045413
730424326645
oct6400736421
92224051720
10872660241
11408659612
12204303869
1310ba4350b
1483c80c25
155192aee6
hex3403bd11

872660241 has 12 divisors (see below), whose sum is σ = 1271665668. Its totient is φ = 576624384.

The previous prime is 872660203. The next prime is 872660251. The reversal of 872660241 is 142066278.

872660241 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 602 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97594641 + 775065600 = 9879^2 + 27840^2 .

It is not a de Polignac number, because 872660241 - 217 = 872529169 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 872660196 and 872660205.

It is not an unprimeable number, because it can be changed into a prime (872660251) 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, 428020 + ... + 430053.

It is an arithmetic number, because the mean of its divisors is an integer number (105972139).

Almost surely, 2872660241 is an apocalyptic number.

It is an amenable number.

872660241 is a deficient number, since it is larger than the sum of its proper divisors (399005427).

872660241 is a wasteful number, since it uses less digits than its factorization.

872660241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858192 (or 858189 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 872660241 is about 29540.8232959070. The cubic root of 872660241 is about 955.6122974183.

The spelling of 872660241 in words is "eight hundred seventy-two million, six hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 9 113 339 1017 858073 2574219 7722657 96962249 290886747 872660241