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1006139485 = 513232291009
BaseRepresentation
bin111011111110000…
…111100001011101
32121010020011220101
4323332013201131
54030032430420
6243501021101
733635021161
oct7376074135
92533204811
101006139485
11476a3753a
12240b54791
131305a9810
14978a8ca1
155d4e560a
hex3bf8785d

1006139485 has 48 divisors (see below), whose sum is σ = 1407495600. Its totient is φ = 685504512.

The previous prime is 1006139461. The next prime is 1006139501. The reversal of 1006139485 is 5849316001.

It can be written as a sum of positive squares in 8 ways, for example, as 120362841 + 885776644 = 10971^2 + 29762^2 .

It is not a de Polignac number, because 1006139485 - 217 = 1006008413 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 996661 + ... + 997669.

It is an arithmetic number, because the mean of its divisors is an integer number (29322825).

Almost surely, 21006139485 is an apocalyptic number.

It is an amenable number.

1006139485 is a deficient number, since it is larger than the sum of its proper divisors (401356115).

1006139485 is a wasteful number, since it uses less digits than its factorization.

1006139485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1006139485 is about 31719.7018428610. The cubic root of 1006139485 is about 1002.0423210850.

The spelling of 1006139485 in words is "one billion, six million, one hundred thirty-nine thousand, four hundred eighty-five".

Divisors: 1 5 13 23 29 65 115 145 299 377 529 667 1009 1495 1885 2645 3335 5045 6877 8671 13117 15341 23207 29261 34385 43355 65585 76705 116035 146305 199433 301691 380393 533761 673003 997165 1508455 1901965 2668805 3365015 6938893 8749039 15479069 34694465 43745195 77395345 201227897 1006139485