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130311360 = 2632545247
BaseRepresentation
bin1111100010001…
…10010011000000
3100002012111120200
413301012103000
5231324430420
620533005200
73141425334
oct761062300
9302174520
10130311360
1167614943
1237783800
1320cc741a
14134417c4
15b690b90
hex7c464c0

130311360 has 84 divisors (see below), whose sum is σ = 448226688. Its totient is φ = 34748928.

The previous prime is 130311347. The next prime is 130311361. The reversal of 130311360 is 63113031.

130311360 is a `hidden beast` number, since 1 + 303 + 1 + 1 + 360 = 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 (130311361) 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 11 ways as a sum of consecutive naturals, for example, 19744 + ... + 25503.

It is an arithmetic number, because the mean of its divisors is an integer number (5336032).

Almost surely, 2130311360 is an apocalyptic number.

130311360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130311360 is an abundant number, since it is smaller than the sum of its proper divisors (317915328).

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

130311360 is a wasteful number, since it uses less digits than its factorization.

130311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45270 (or 45257 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 130311360 is about 11415.4001243934. The cubic root of 130311360 is about 506.9838119080.

Adding to 130311360 its reverse (63113031), we get a palindrome (193424391).

The spelling of 130311360 in words is "one hundred thirty million, three hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 45247 90494 135741 180988 226235 271482 361976 407223 452470 542964 678705 723952 814446 904940 1085928 1357410 1447904 1628892 1809880 2036115 2171856 2714820 2895808 3257784 3619760 4072230 4343712 5429640 6515568 7239520 8144460 8687424 10859280 13031136 14479040 16288920 21718560 26062272 32577840 43437120 65155680 130311360