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130306320 = 243556703
BaseRepresentation
bin1111100010001…
…01000100010000
3100002012020200000
413301011010100
5231324300240
620532530000
73141404544
oct761050420
9302166600
10130306320
1167611081
1237780900
1320cc5041
141343da24
15b68e430
hex7c45110

130306320 has 120 divisors (see below), whose sum is σ = 453887616. Its totient is φ = 34743168.

The previous prime is 130306307. The next prime is 130306321. The reversal of 130306320 is 23603031.

It is a happy number.

130306320 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 632 + 0 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 130306293 and 130306302.

It is not an unprimeable number, because it can be changed into a prime (130306321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16089 + ... + 22791.

Almost surely, 2130306320 is an apocalyptic number.

130306320 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 130306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226943808).

130306320 is an abundant number, since it is smaller than the sum of its proper divisors (323581296).

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

130306320 is an equidigital number, since it uses as much as digits as its factorization.

130306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130306320 is about 11415.1793678418. The cubic root of 130306320 is about 506.9772756875.

Adding to 130306320 its reverse (23603031), we get a palindrome (153909351).

The spelling of 130306320 in words is "one hundred thirty million, three hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 6703 9720 13406 19440 20109 26812 33515 40218 53624 60327 67030 80436 100545 107248 120654 134060 160872 180981 201090 241308 268120 301635 321744 361962 402180 482616 536240 542943 603270 723924 804360 904905 965232 1085886 1206540 1447848 1608720 1628829 1809810 2171772 2413080 2714715 2895696 3257658 3619620 4343544 4826160 5429430 6515316 7239240 8144145 8687088 10858860 13030632 14478480 16288290 21717720 26061264 32576580 43435440 65153160 130306320