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130397184 = 2103214149
BaseRepresentation
bin1111100010110…
…11010000000000
3100002100212022100
413301123100000
5231340202214
620534510400
73142233501
oct761332000
9302325270
10130397184
1167673375
1237805400
13210274c8
1413464ba8
15b6ab309
hex7c5b400

130397184 has 66 divisors (see below), whose sum is σ = 376545650. Its totient is φ = 43462656.

The previous prime is 130397177. The next prime is 130397203. The reversal of 130397184 is 481793031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128323584 + 2073600 = 11328^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2142 + ... + 16290.

Almost surely, 2130397184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188272825).

130397184 is an abundant number, since it is smaller than the sum of its proper divisors (246148466).

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

130397184 is a wasteful number, since it uses less digits than its factorization.

130397184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14154 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130397184 is about 11419.1586380083. The cubic root of 130397184 is about 507.0950885454.

The spelling of 130397184 in words is "one hundred thirty million, three hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14149 28298 42447 56596 84894 113192 127341 169788 226384 254682 339576 452768 509364 679152 905536 1018728 1358304 1811072 2037456 2716608 3622144 4074912 5433216 7244288 8149824 10866432 14488576 16299648 21732864 32599296 43465728 65198592 130397184