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130366530 = 23357232999
BaseRepresentation
bin1111100010100…
…11110001000010
3100002022022021000
413301103301002
5231333212110
620534112430
73142045230
oct761236102
9302268230
10130366530
1167652338
12377ab716
1321016578
1413457950
15b6a21c0
hex7c53c42

130366530 has 128 divisors (see below), whose sum is σ = 414720000. Its totient is φ = 28492992.

The previous prime is 130366519. The next prime is 130366559. The reversal of 130366530 is 35663031.

130366530 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 6 + 653 + 0 = 666.

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 = 130366494 and 130366503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41971 + ... + 44969.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2130366530 is an apocalyptic number.

130366530 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 130366530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

130366530 is an abundant number, since it is smaller than the sum of its proper divisors (284353470).

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

130366530 is a wasteful number, since it uses less digits than its factorization.

130366530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 130366530 is about 11417.8163411398. The cubic root of 130366530 is about 507.0553491620.

The spelling of 130366530 in words is "one hundred thirty million, three hundred sixty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 2999 3105 4347 4830 5998 6210 7245 8694 8997 14490 14995 17994 20993 21735 26991 29990 41986 43470 44985 53982 62979 68977 80973 89970 104965 125958 134955 137954 161946 188937 206931 209930 269910 314895 344885 377874 404865 413862 482839 566811 620793 629790 689770 809730 944685 965678 1034655 1133622 1241586 1448517 1862379 1889370 2069310 2414195 2834055 2897034 3103965 3724758 4345551 4828390 5668110 6207930 7242585 8691102 9311895 13036653 14485170 18623790 21727755 26073306 43455510 65183265 130366530