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130320660 = 223537471249
BaseRepresentation
bin1111100010010…
…00100100010100
3100002012222100010
413301020210110
5231330230120
620533120220
73141464421
oct761104424
9302188303
10130320660
1167620928
1237789070
1320ccb722
1413444d48
15b6937e0
hex7c48914

130320660 has 96 divisors (see below), whose sum is σ = 383040000. Its totient is φ = 33067008.

The previous prime is 130320649. The next prime is 130320667. The reversal of 130320660 is 66023031.

It is a super-4 number, since 4×1303206604 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130320667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103716 + ... + 104964.

It is an arithmetic number, because the mean of its divisors is an integer number (3990000).

Almost surely, 2130320660 is an apocalyptic number.

130320660 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 130320660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520000).

130320660 is an abundant number, since it is smaller than the sum of its proper divisors (252719340).

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

130320660 is a wasteful number, since it uses less digits than its factorization.

130320660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 130320660 is about 11415.8074615859. The cubic root of 130320660 is about 506.9958723487.

Adding to 130320660 its reverse (66023031), we get a palindrome (196343691).

The spelling of 130320660 in words is "one hundred thirty million, three hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 141 148 185 188 222 235 282 370 444 470 555 564 705 740 940 1110 1249 1410 1739 2220 2498 2820 3478 3747 4996 5217 6245 6956 7494 8695 10434 12490 14988 17390 18735 20868 24980 26085 34780 37470 46213 52170 58703 74940 92426 104340 117406 138639 176109 184852 231065 234812 277278 293515 352218 462130 554556 587030 693195 704436 880545 924260 1174060 1386390 1761090 2172011 2772780 3522180 4344022 6516033 8688044 10860055 13032066 21720110 26064132 32580165 43440220 65160330 130320660