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130576329 = 321322932
BaseRepresentation
bin1111100100001…
…10111111001001
3100002200222001100
413302012333021
5231411420304
620542412013
73143611002
oct762067711
9302628040
10130576329
1167785a24
1237891009
132108ac00
14134b01a9
15b6e4439
hex7c86fc9

130576329 has 27 divisors (see below), whose sum is σ = 204934197. Its totient is φ = 80080416.

The previous prime is 130576321. The next prime is 130576333. The reversal of 130576329 is 923675031.

The square root of 130576329 is 11427.

It is a perfect power (a square), and thus also a powerful number.

130576329 is a `hidden beast` number, since 13 + 0 + 5 + 7 + 632 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3337929 + 127238400 = 1827^2 + 11280^2 .

It is not a de Polignac number, because 130576329 - 23 = 130576321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130576293 and 130576302.

It is not an unprimeable number, because it can be changed into a prime (130576321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 445507 + ... + 445799.

Almost surely, 2130576329 is an apocalyptic number.

130576329 is the 11427-th square number.

130576329 is the 5714-th centered octagonal number.

It is an amenable number.

130576329 is a deficient number, since it is larger than the sum of its proper divisors (74357868).

130576329 is an equidigital number, since it uses as much as digits as its factorization.

130576329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The cubic root of 130576329 is about 507.3272049583.

Multiplying 130576329 by its sum of digits (36), we get a square (4700747844 = 685622).

The spelling of 130576329 in words is "one hundred thirty million, five hundred seventy-six thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 293 507 879 1521 2637 3809 11427 34281 49517 85849 148551 257547 445653 772641 1116037 3348111 10044333 14508481 43525443 130576329