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1006005104 = 24134836563
BaseRepresentation
bin111011111101100…
…110101101110000
32121002222100120022
4323331212231300
54030014130404
6243454103012
733633621326
oct7375465560
92532870508
101006005104
11476955585
12240aaaa68
131305605c0
1497871d16
155d4ba8be
hex3bf66b70

1006005104 has 20 divisors (see below), whose sum is σ = 2099068776. Its totient is φ = 464309952.

The previous prime is 1006005097. The next prime is 1006005113. The reversal of 1006005104 is 4015006001.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 2418074 + ... + 2418489.

Almost surely, 21006005104 is an apocalyptic number.

It is an amenable number.

1006005104 is an abundant number, since it is smaller than the sum of its proper divisors (1093063672).

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

1006005104 is a wasteful number, since it uses less digits than its factorization.

1006005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836584 (or 4836578 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1006005104 is about 31717.5835145113. The cubic root of 1006005104 is about 1001.9977078392.

The spelling of 1006005104 in words is "one billion, six million, five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 4836563 9673126 19346252 38692504 62875319 77385008 125750638 251501276 503002552 1006005104