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130300560 = 243251313921
BaseRepresentation
bin1111100010000…
…11101010010000
3100002011221202200
413301003222100
5231324104220
620532443200
73141352005
oct761035220
9302157680
10130300560
1167607815
1237779500
1320cc2530
141343b8ac
15b68c890
hex7c43a90

130300560 has 120 divisors (see below), whose sum is σ = 471287544. Its totient is φ = 32071680.

The previous prime is 130300559. The next prime is 130300601. The reversal of 130300560 is 65003031.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 126427536 = 1968^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2400 + ... + 16320.

Almost surely, 2130300560 is an apocalyptic number.

130300560 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 130300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235643772).

130300560 is an abundant number, since it is smaller than the sum of its proper divisors (340986984).

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

130300560 is a wasteful number, since it uses less digits than its factorization.

130300560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13944 counting only the distinct ones).

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

The square root of 130300560 is about 11414.9270694122. The cubic root of 130300560 is about 506.9698055148.

Adding to 130300560 its reverse (65003031), we get a palindrome (195303591).

The spelling of 130300560 in words is "one hundred thirty million, three hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 13921 27842 41763 55684 69605 83526 111368 125289 139210 167052 180973 208815 222736 250578 278420 334104 361946 417630 501156 542919 556840 626445 668208 723892 835260 904865 1002312 1085838 1113680 1252890 1447784 1628757 1670520 1809730 2004624 2171676 2505780 2714595 2895568 3257514 3341040 3619460 4343352 5011560 5429190 6515028 7238920 8143785 8686704 10023120 10858380 13030056 14477840 16287570 21716760 26060112 32575140 43433520 65150280 130300560