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1006609983 = 34161134161
BaseRepresentation
bin111011111111111…
…010011000111111
32121011010002022020
4323333322120333
54030143004413
6243515051223
733642020661
oct7377723077
92534102266
101006609983
11477228a85
12241140b13
13130712a12
149798c531
155d589c23
hex3bffa63f

1006609983 has 16 divisors (see below), whose sum is σ = 1397431392. Its totient is φ = 643968000.

The previous prime is 1006609969. The next prime is 1006609991. The reversal of 1006609983 is 3899066001.

It is not a de Polignac number, because 1006609983 - 216 = 1006544447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006609913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59578 + ... + 74583.

It is an arithmetic number, because the mean of its divisors is an integer number (87339462).

Almost surely, 21006609983 is an apocalyptic number.

1006609983 is a deficient number, since it is larger than the sum of its proper divisors (390821409).

1006609983 is a wasteful number, since it uses less digits than its factorization.

1006609983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134266.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1006609983 is about 31727.1174707063. The cubic root of 1006609983 is about 1002.1984907630.

The spelling of 1006609983 in words is "one billion, six million, six hundred nine thousand, nine hundred eighty-three".

Divisors: 1 3 41 61 123 183 2501 7503 134161 402483 5500601 8183821 16501803 24551463 335536661 1006609983