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1027133949 = 33719874657
BaseRepresentation
bin111101001110001…
…101000111111101
32122120201210220010
4331032031013331
54100421241244
6245531013433
734311331422
oct7516150775
92576653803
101027133949
11487876a36
12247b9a279
13134a4a78a
149a5b1d49
1560290eb9
hex3d38d1fd

1027133949 has 16 divisors (see below), whose sum is σ = 1407535808. Its totient is φ = 665770752.

The previous prime is 1027133893. The next prime is 1027133957. The reversal of 1027133949 is 9493317201.

It is not a de Polignac number, because 1027133949 - 211 = 1027131901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027133449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218229 + ... + 222885.

It is an arithmetic number, because the mean of its divisors is an integer number (87970988).

Almost surely, 21027133949 is an apocalyptic number.

It is an amenable number.

1027133949 is a deficient number, since it is larger than the sum of its proper divisors (380401859).

1027133949 is a wasteful number, since it uses less digits than its factorization.

1027133949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 1027133949 is about 32048.9305437795. The cubic root of 1027133949 is about 1008.9640552795.

The spelling of 1027133949 in words is "one billion, twenty-seven million, one hundred thirty-three thousand, nine hundred forty-nine".

Divisors: 1 3 37 111 1987 4657 5961 13971 73519 172309 220557 516927 9253459 27760377 342377983 1027133949