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130330368 = 283278081
BaseRepresentation
bin1111100010010…
…10111100000000
3100002020110122200
413301022330000
5231331032433
620533233200
73141534630
oct761127400
9302213580
10130330368
1167628153
1237792800
1321002c7c
14134486c0
15b696613
hex7c4af00

130330368 has 108 divisors (see below), whose sum is σ = 429509808. Its totient is φ = 37232640.

The previous prime is 130330357. The next prime is 130330411. The reversal of 130330368 is 863033031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12088 + ... + 20168.

Almost surely, 2130330368 is an apocalyptic number.

130330368 is a gapful number since it is divisible by the number (18) 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 130330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214754904).

130330368 is an abundant number, since it is smaller than the sum of its proper divisors (299179440).

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

130330368 is an equidigital number, since it uses as much as digits as its factorization.

130330368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 130330368 is about 11416.2326535508. The cubic root of 130330368 is about 507.0084612805.

Adding to 130330368 its reverse (863033031), we get a palindrome (993363399).

The spelling of 130330368 in words is "one hundred thirty million, three hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 8081 16128 16162 24243 32324 48486 56567 64648 72729 96972 113134 129296 145458 169701 193944 226268 258592 290916 339402 387888 452536 509103 517184 581832 678804 775776 905072 1018206 1034368 1163664 1357608 1551552 1810144 2036412 2068736 2327328 2715216 3103104 3620288 4072824 4654656 5430432 6206208 7240576 8145648 9309312 10860864 14481152 16291296 18618624 21721728 32582592 43443456 65165184 130330368