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1066624 = 2713641
BaseRepresentation
bin100000100011010000000
32000012010121
410010122000
5233112444
634510024
712031456
oct4043200
92005117
101066624
11669409
12435314
132b4650
141da9d6
15161084
hex104680

1066624 has 32 divisors (see below), whose sum is σ = 2291940. Its totient is φ = 491520.

The previous prime is 1066621. The next prime is 1066643. The reversal of 1066624 is 4266601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 1600 = 1032^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10666242 = 2275373514752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1344 + ... + 1984.

21066624 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 1066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145970).

1066624 is an abundant number, since it is smaller than the sum of its proper divisors (1225316).

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

1066624 is an equidigital number, since it uses as much as digits as its factorization.

1066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1066624 is about 1032.7749028709. The cubic root of 1066624 is about 102.1732286398.

The spelling of 1066624 in words is "one million, sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 641 832 1282 1664 2564 5128 8333 10256 16666 20512 33332 41024 66664 82048 133328 266656 533312 1066624