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130384512 = 2733311217
BaseRepresentation
bin1111100010110…
…00001010000000
3100002100012221000
413301120022000
5231334301022
620534332000
73142151526
oct761301200
9302305830
10130384512
11676648a5
12377ba000
13210217cb
1413460316
15b6a76ac
hex7c58280

130384512 has 128 divisors (see below), whose sum is σ = 397555200. Its totient is φ = 42024960.

The previous prime is 130384489. The next prime is 130384531. The reversal of 130384512 is 215483031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106528 + ... + 107744.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900).

Almost surely, 2130384512 is an apocalyptic number.

130384512 is a gapful number since it is divisible by the number (12) 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 130384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198777600).

130384512 is an abundant number, since it is smaller than the sum of its proper divisors (267170688).

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

130384512 is a wasteful number, since it uses less digits than its factorization.

130384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130384512 is about 11418.6037675366. The cubic root of 130384512 is about 507.0786615109.

The spelling of 130384512 in words is "one hundred thirty million, three hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1217 1488 1674 1728 1984 2232 2434 2976 3348 3456 3651 3968 4464 4868 5952 6696 7302 8928 9736 10953 11904 13392 14604 17856 19472 21906 26784 29208 32859 35712 37727 38944 43812 53568 58416 65718 75454 77888 87624 107136 113181 116832 131436 150908 155776 175248 226362 233664 262872 301816 339543 350496 452724 467328 525744 603632 679086 700992 905448 1018629 1051488 1207264 1358172 1401984 1810896 2037258 2102976 2414528 2716344 3621792 4074516 4205952 4829056 5432688 7243584 8149032 10865376 14487168 16298064 21730752 32596128 43461504 65192256 130384512