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1006556317 = 13115367153
BaseRepresentation
bin111011111111101…
…101010010011101
32121011000100200121
4323333231102131
54030134300232
6243513554541
733641405344
oct7377552235
92534010617
101006556317
114771a1728
12241115a51
131306c4470
1497976b5b
155d578d97
hex3bfed49d

1006556317 has 8 divisors (see below), whose sum is σ = 1084940024. Its totient is φ = 928309248.

The previous prime is 1006556297. The next prime is 1006556323. The reversal of 1006556317 is 7136556001.

It can be written as a sum of positive squares in 4 ways, for example, as 43943641 + 962612676 = 6629^2 + 31026^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006556317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006556347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18588 + ... + 48565.

It is an arithmetic number, because the mean of its divisors is an integer number (135617503).

Almost surely, 21006556317 is an apocalyptic number.

It is an amenable number.

1006556317 is a deficient number, since it is larger than the sum of its proper divisors (78383707).

1006556317 is a wasteful number, since it uses less digits than its factorization.

1006556317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68319.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 1006556317 is about 31726.2717160400. The cubic root of 1006556317 is about 1002.1806801773.

The spelling of 1006556317 in words is "one billion, six million, five hundred fifty-six thousand, three hundred seventeen".

Divisors: 1 13 1153 14989 67153 872989 77427409 1006556317