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1066265244 = 22321125710477
BaseRepresentation
bin111111100011011…
…110101010011100
32202022100212221100
4333203132222130
54140430441434
6253445433100
735265051012
oct7743365234
92668325840
101066265244
114a7973950
1225910b790
1313cb9baa5
14a187a8b2
1563920699
hex3f8dea9c

1066265244 has 72 divisors (see below), whose sum is σ = 2952029808. Its totient is φ = 321822720.

The previous prime is 1066265219. The next prime is 1066265261. The reversal of 1066265244 is 4425626601.

1066265244 is a `hidden beast` number, since 1 + 0 + 6 + 626 + 5 + 24 + 4 = 666.

It is a super-2 number, since 2×10662652442 = 2273843141124759072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1066265199 and 1066265208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96534 + ... + 107010.

It is an arithmetic number, because the mean of its divisors is an integer number (41000414).

Almost surely, 21066265244 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 1066265244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476014904).

1066265244 is an abundant number, since it is smaller than the sum of its proper divisors (1885764564).

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

1066265244 is a wasteful number, since it uses less digits than its factorization.

1066265244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1066265244 is about 32653.7171544068. The cubic root of 1066265244 is about 1021.6177212862.

The spelling of 1066265244 in words is "one billion, sixty-six million, two hundred sixty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2827 3084 4626 5654 8481 9252 10477 11308 16962 20954 25443 31431 33924 41908 50886 62862 94293 101772 115247 125724 188586 230494 345741 377172 460988 691482 1037223 1382964 2074446 2692589 4148892 5385178 8077767 10770356 16155534 24233301 29618479 32311068 48466602 59236958 88855437 96933204 118473916 177710874 266566311 355421748 533132622 1066265244