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130516560 = 24325181273
BaseRepresentation
bin1111100011110…
…00011001010000
3100002120221001200
413301320121100
5231403012220
620541231200
73143241516
oct761703120
9302527050
10130516560
1167745029
1237862500
1321069945
14134964b6
15b6d1890
hex7c78650

130516560 has 60 divisors (see below), whose sum is σ = 438320532. Its totient is φ = 34804224.

The previous prime is 130516523. The next prime is 130516579. The reversal of 130516560 is 65615031.

It is a happy number.

130516560 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 97061904 = 5784^2 + 9852^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 89917 + ... + 91356.

Almost surely, 2130516560 is an apocalyptic number.

130516560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130516560 is an abundant number, since it is smaller than the sum of its proper divisors (307803972).

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

130516560 is a wasteful number, since it uses less digits than its factorization.

130516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181292 (or 181283 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 130516560 is about 11424.3844473127. The cubic root of 130516560 is about 507.2497864664.

The spelling of 130516560 in words is "one hundred thirty million, five hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181273 362546 543819 725092 906365 1087638 1450184 1631457 1812730 2175276 2719095 2900368 3262914 3625460 4350552 5438190 6525828 7250920 8157285 8701104 10876380 13051656 14501840 16314570 21752760 26103312 32629140 43505520 65258280 130516560