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1066394280 = 233574727011
BaseRepresentation
bin111111100011111…
…110001010101000
32202022121102221110
4333203332022220
54140444104110
6253452310320
735266126140
oct7743761250
92668542843
101066394280
114a7a51896
122591723a0
1313cc15743
14a18b1920
1563948a20
hex3f8fe2a8

1066394280 has 128 divisors (see below), whose sum is σ = 3734138880. Its totient is φ = 238552320.

The previous prime is 1066394267. The next prime is 1066394299. The reversal of 1066394280 is 824936601.

It is a super-2 number, since 2×10663942802 = 2274393520833436800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25975 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (29172960).

Almost surely, 21066394280 is an apocalyptic number.

1066394280 is a gapful number since it is divisible by the number (10) 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 1066394280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867069440).

1066394280 is an abundant number, since it is smaller than the sum of its proper divisors (2667744600).

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

1066394280 is a wasteful number, since it uses less digits than its factorization.

1066394280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27079 (or 27075 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1066394280 is about 32655.6929186934. The cubic root of 1066394280 is about 1021.6589305906.

The spelling of 1066394280 in words is "one billion, sixty-six million, three hundred ninety-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 27011 39480 54022 81033 108044 135055 162066 189077 216088 270110 324132 378154 405165 540220 567231 648264 756308 810330 945385 1080440 1134462 1269517 1512616 1620660 1890770 2268924 2539034 2836155 3241320 3781540 3808551 4537848 5078068 5672310 6347585 7563080 7617102 8886619 10156136 11344620 12695170 15234204 17773238 19042755 22689240 25390340 26659857 30468408 35546476 38085510 44433095 50780680 53319714 71092952 76171020 88866190 106639428 133299285 152342040 177732380 213278856 266598570 355464760 533197140 1066394280