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1066130928 = 2432172691619
BaseRepresentation
bin111111100010111…
…101110111110000
32202022010001200200
4333202331313300
54140412142203
6253442515200
735263651302
oct7742756760
92668101620
101066130928
114a7891a45
12259065b00
1313cb52905
14a1843972
15638e59a3
hex3f8bddf0

1066130928 has 120 divisors (see below), whose sum is σ = 3172899600. Its totient is φ = 333023232.

The previous prime is 1066130917. The next prime is 1066130929. The reversal of 1066130928 is 8290316601.

1066130928 is a `hidden beast` number, since 10 + 6 + 613 + 0 + 9 + 28 = 666.

It is a super-2 number, since 2×10661309282 = 2273270311276282368, 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 = 1066130892 and 1066130901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066130929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657703 + ... + 659321.

It is an arithmetic number, because the mean of its divisors is an integer number (26440830).

Almost surely, 21066130928 is an apocalyptic number.

1066130928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586449800).

1066130928 is an abundant number, since it is smaller than the sum of its proper divisors (2106768672).

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

1066130928 is a wasteful number, since it uses less digits than its factorization.

1066130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1066130928 is about 32651.6604171978. The cubic root of 1066130928 is about 1021.5748222143.

The spelling of 1066130928 in words is "one billion, sixty-six million, one hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 269 272 306 408 538 612 807 816 1076 1224 1614 1619 2152 2421 2448 3228 3238 4304 4573 4842 4857 6456 6476 9146 9684 9714 12912 12952 13719 14571 18292 19368 19428 25904 27438 27523 29142 36584 38736 38856 41157 54876 55046 58284 73168 77712 82314 82569 109752 110092 116568 164628 165138 219504 220184 233136 247707 329256 330276 435511 440368 495414 658512 660552 871022 990828 1306533 1321104 1742044 1981656 2613066 3484088 3919599 3963312 5226132 6968176 7403687 7839198 10452264 14807374 15678396 20904528 22211061 29614748 31356792 44422122 59229496 62713584 66633183 88844244 118458992 133266366 177688488 266532732 355376976 533065464 1066130928