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1008117 = 321117599
BaseRepresentation
bin11110110000111110101
31220012212200
43312013311
5224224432
633335113
711366055
oct3660765
91805780
101008117
11629460
12407499
13293b26
141c3565
1514da7c
hexf61f5

1008117 has 24 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 574080.

The previous prime is 1008101. The next prime is 1008131. The reversal of 1008117 is 7118001.

It is not a de Polignac number, because 1008117 - 24 = 1008101 is a prime.

1008117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008157) 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 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

21008117 is an apocalyptic number.

1008117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1008117 is a deficient number, since it is larger than the sum of its proper divisors (676683).

1008117 is a wasteful number, since it uses less digits than its factorization.

1008117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1008117 is about 1004.0502975449. The cubic root of 1008117 is about 100.2698378869.

The spelling of 1008117 in words is "one million, eight thousand, one hundred seventeen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 599 1683 1797 5391 6589 10183 19767 30549 59301 91647 112013 336039 1008117