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1005392668 = 22735906881
BaseRepresentation
bin111011111011010…
…001001100011100
32121001211020110111
4323323101030130
54024340031133
6243433015404
733625460650
oct7373211434
92531736414
101005392668
11476577435
12240854564
131303a7907
1497752a60
155d3e91cd
hex3bed131c

1005392668 has 12 divisors (see below), whose sum is σ = 2010785392. Its totient is φ = 430882560.

The previous prime is 1005392623. The next prime is 1005392723. The reversal of 1005392668 is 8662935001.

1005392668 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005392668.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17953413 + ... + 17953468.

Almost surely, 21005392668 is an apocalyptic number.

It is an amenable number.

1005392668 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005392668 is a wasteful number, since it uses less digits than its factorization.

1005392668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35906892 (or 35906890 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1005392668 is about 31707.9275260935. The cubic root of 1005392668 is about 1001.7943344382.

The spelling of 1005392668 in words is "one billion, five million, three hundred ninety-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 35906881 71813762 143627524 251348167 502696334 1005392668