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1006313 = 72111867
BaseRepresentation
bin11110101101011101001
31220010101212
43311223221
5224200223
633322505
711360600
oct3655351
91803355
101006313
11628070
12406435
13293069
141c2a37
1514d278
hexf5ae9

1006313 has 12 divisors (see below), whose sum is σ = 1277712. Its totient is φ = 783720.

The previous prime is 1006309. The next prime is 1006331. The reversal of 1006313 is 3136001.

It is not a de Polignac number, because 1006313 - 22 = 1006309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (106476).

21006313 is an apocalyptic number.

It is an amenable number.

1006313 is a deficient number, since it is larger than the sum of its proper divisors (271399).

1006313 is a wasteful number, since it uses less digits than its factorization.

1006313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1006313 is about 1003.1515339170. The cubic root of 1006313 is about 100.2099920580.

The spelling of 1006313 in words is "one million, six thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 539 1867 13069 20537 91483 143759 1006313