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1066788 = 223229633
BaseRepresentation
bin100000100011100100100
32000012100200
410010130210
5233114123
634510500
712032112
oct4043444
92005320
101066788
11669548
12435430
132b4748
141daab2
15161143
hex104724

1066788 has 18 divisors (see below), whose sum is σ = 2696694. Its totient is φ = 355584.

The previous prime is 1066777. The next prime is 1066789. The reversal of 1066788 is 8876601.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 1764 = 1032^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10667882 = 2276073273888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29633 = 1066788 / (1 + 0 + 6 + 6 + 7 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (1066789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14781 + ... + 14852.

21066788 is an apocalyptic number.

1066788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1066788 is an abundant number, since it is smaller than the sum of its proper divisors (1629906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066788 is a wasteful number, since it uses less digits than its factorization.

1066788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29643 (or 29638 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1066788 is about 1032.8542975657. The cubic root of 1066788 is about 102.1784649588.

The spelling of 1066788 in words is "one million, sixty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29633 59266 88899 118532 177798 266697 355596 533394 1066788