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1066405230 = 2335111572287
BaseRepresentation
bin111111100100000…
…000110101101110
32202022121222222000
4333210000311232
54140444431410
6253452433130
735266203102
oct7744006556
92668558860
101066405230
114a7a5a040
122591787a6
1313cc1a717
14a18b5902
156394bdc0
hex3f900d6e

1066405230 has 128 divisors (see below), whose sum is σ = 3123394560. Its totient is φ = 256763520.

The previous prime is 1066405217. The next prime is 1066405259. The reversal of 1066405230 is 325046601.

1066405230 is a `hidden beast` number, since 10 + 6 + 640 + 5 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×10664052302 = 2274440229142705800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1066405194 and 1066405203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465147 + ... + 467433.

It is an arithmetic number, because the mean of its divisors is an integer number (24401520).

Almost surely, 21066405230 is an apocalyptic number.

1066405230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066405230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561697280).

1066405230 is an abundant number, since it is smaller than the sum of its proper divisors (2056989330).

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

1066405230 is a wasteful number, since it uses less digits than its factorization.

1066405230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1066405230 is about 32655.8605766254. The cubic root of 1066405230 is about 1021.6624274608.

The spelling of 1066405230 in words is "one billion, sixty-six million, four hundred five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 157 165 198 270 297 314 330 471 495 594 785 942 990 1413 1485 1570 1727 2287 2355 2826 2970 3454 4239 4574 4710 5181 6861 7065 8478 8635 10362 11435 13722 14130 15543 17270 20583 21195 22870 25157 25905 31086 34305 41166 42390 46629 50314 51810 61749 68610 75471 77715 93258 102915 123498 125785 150942 155430 205830 226413 233145 251570 308745 359059 377355 452826 466290 617490 679239 718118 754710 1077177 1132065 1358478 1795295 2154354 2264130 3231531 3396195 3590590 3949649 5385885 6463062 6792390 7899298 9694593 10771770 11848947 16157655 19389186 19748245 23697894 32315310 35546841 39496490 48472965 59244735 71093682 96945930 106640523 118489470 177734205 213281046 355468410 533202615 1066405230