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1066005 = 32523689
BaseRepresentation
bin100000100010000010101
32000011021200
410010100111
5233103010
634503113
712026613
oct4042025
92004250
101066005
116689a6
12434a99
132b4295
141da6b3
15160cc0
hex104415

1066005 has 12 divisors (see below), whose sum is σ = 1847820. Its totient is φ = 568512.

The previous prime is 1066001. The next prime is 1066031. The reversal of 1066005 is 5006601.

1066005 is a `hidden beast` number, since 1 + 0 + 660 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 904401 = 402^2 + 951^2 .

It is not a de Polignac number, because 1066005 - 22 = 1066001 is a prime.

It is a super-2 number, since 2×10660052 = 2272733320050, which contains 22 as substring.

1066005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11800 + ... + 11889.

It is an arithmetic number, because the mean of its divisors is an integer number (153985).

21066005 is an apocalyptic number.

1066005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066005 is a deficient number, since it is larger than the sum of its proper divisors (781815).

1066005 is a wasteful number, since it uses less digits than its factorization.

1066005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1066005 is about 1032.4751812998. The cubic root of 1066005 is about 102.1534598906.

The spelling of 1066005 in words is "one million, sixty-six thousand, five".

Divisors: 1 3 5 9 15 45 23689 71067 118445 213201 355335 1066005