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130530060 = 223252341769
BaseRepresentation
bin1111100011110…
…11101100001100
3100002121121120200
413301323230030
5231403430220
620541413500
73143326053
oct761735414
9302547520
10130530060
1167754191
123786a290
1321072b2b
141349b39a
15b6d5890
hex7c7bb0c

130530060 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 32440320.

The previous prime is 130530053. The next prime is 130530061. The reversal of 130530060 is 60035031.

130530060 is a `hidden beast` number, since 1 + 305 + 300 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130530061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169356 + ... + 170124.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2130530060 is an apocalyptic number.

130530060 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 130530060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

130530060 is an abundant number, since it is smaller than the sum of its proper divisors (293253300).

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

130530060 is a wasteful number, since it uses less digits than its factorization.

130530060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130530060 is about 11424.9752734962. The cubic root of 130530060 is about 507.2672750161.

Adding to 130530060 its reverse (60035031), we get a palindrome (190565091).

The spelling of 130530060 in words is "one hundred thirty million, five hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 41 45 46 60 69 82 90 92 115 123 138 164 180 205 207 230 246 276 345 369 410 414 460 492 615 690 738 769 820 828 943 1035 1230 1380 1476 1538 1845 1886 2070 2307 2460 2829 3076 3690 3772 3845 4140 4614 4715 5658 6921 7380 7690 8487 9228 9430 11316 11535 13842 14145 15380 16974 17687 18860 23070 27684 28290 31529 33948 34605 35374 42435 46140 53061 56580 63058 69210 70748 84870 88435 94587 106122 126116 138420 157645 159183 169740 176870 189174 212244 265305 283761 315290 318366 353740 378348 472935 530610 567522 630580 636732 725167 795915 945870 1061220 1135044 1418805 1450334 1591830 1891740 2175501 2837610 2900668 3183660 3625835 4351002 5675220 6526503 7251670 8702004 10877505 13053006 14503340 21755010 26106012 32632515 43510020 65265030 130530060