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1327005 = 32537797
BaseRepresentation
bin101000011111110011101
32111102022100
411003332131
5314431010
644235313
714164551
oct5037635
92442270
101327005
11826aa9
1253bb39
13376014
14267861
151b32c0
hex143f9d

1327005 has 24 divisors (see below), whose sum is σ = 2365272. Its totient is φ = 687744.

The previous prime is 1326989. The next prime is 1327009. The reversal of 1327005 is 5007231.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 974169 = 594^2 + 987^2 .

It is not a de Polignac number, because 1327005 - 24 = 1326989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327009) 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, 1267 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

21327005 is an apocalyptic number.

1327005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1327005 is a deficient number, since it is larger than the sum of its proper divisors (1038267).

1327005 is a wasteful number, since it uses less digits than its factorization.

1327005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1327005 is about 1151.9570304486. The cubic root of 1327005 is about 109.8898346094.

The spelling of 1327005 in words is "one million, three hundred twenty-seven thousand, five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 797 1665 2391 3985 7173 11955 29489 35865 88467 147445 265401 442335 1327005