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1083681441 = 32211570659
BaseRepresentation
bin100000010010111…
…1010101010100001
32210112010201110200
41000211322222201
54204410301231
6255311015413
735566066053
oct10045725241
92715121420
101083681441
115067899a7
12262b0a569
1314368912b
14a3cd18d3
1565210be6
hex4097aaa1

1083681441 has 12 divisors (see below), whose sum is σ = 1572738960. Its totient is φ = 719029080.

The previous prime is 1083681427. The next prime is 1083681481. The reversal of 1083681441 is 1441863801.

It is a happy number.

1083681441 is a `hidden beast` number, since 108 + 36 + 81 + 441 = 666.

It is not a de Polignac number, because 1083681441 - 26 = 1083681377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1083681396 and 1083681405.

It is not an unprimeable number, because it can be changed into a prime (1083681421) 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, 283431 + ... + 287228.

It is an arithmetic number, because the mean of its divisors is an integer number (131061580).

Almost surely, 21083681441 is an apocalyptic number.

It is an amenable number.

1083681441 is a deficient number, since it is larger than the sum of its proper divisors (489057519).

1083681441 is a wasteful number, since it uses less digits than its factorization.

1083681441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570876 (or 570873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1083681441 is about 32919.3171405483. The cubic root of 1083681441 is about 1027.1500191539.

It can be divided in two parts, 1083681 and 441, that multiplied together give a square (477903321 = 218612).

The spelling of 1083681441 in words is "one billion, eighty-three million, six hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 3 9 211 633 1899 570659 1711977 5135931 120409049 361227147 1083681441