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1066772 = 227311229
BaseRepresentation
bin100000100011100010100
32000012100002
410010130110
5233114042
634510432
712032060
oct4043424
92005302
101066772
11669533
12435418
132b4735
141daaa0
15161132
hex104714

1066772 has 24 divisors (see below), whose sum is σ = 2204160. Its totient is φ = 442080.

The previous prime is 1066757. The next prime is 1066777. The reversal of 1066772 is 2776601.

1066772 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×10667722 = 2276004999968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066777) 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 7 ways as a sum of consecutive naturals, for example, 254 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (91840).

21066772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102080).

1066772 is an abundant number, since it is smaller than the sum of its proper divisors (1137388).

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

1066772 is a wasteful number, since it uses less digits than its factorization.

1066772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1066772 is about 1032.8465520105. The cubic root of 1066772 is about 102.1779541221.

The spelling of 1066772 in words is "one million, sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1229 2458 4916 8603 17206 34412 38099 76198 152396 266693 533386 1066772