Search a number
-
+
130514514 = 231353131241
BaseRepresentation
bin1111100011101…
…11111001010010
3100002120211020220
413301313321102
5231402431024
620541213510
73143232534
oct761677122
9302524226
10130514514
1167743539
1237861296
1321068a30
1413495854
15b6d0e79
hex7c77e52

130514514 has 64 divisors (see below), whose sum is σ = 289795968. Its totient is φ = 38937600.

The previous prime is 130514507. The next prime is 130514519. The reversal of 130514514 is 415415031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130514519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541434 + ... + 541674.

It is an arithmetic number, because the mean of its divisors is an integer number (4528062).

Almost surely, 2130514514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130514514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897984).

130514514 is an abundant number, since it is smaller than the sum of its proper divisors (159281454).

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

130514514 is a wasteful number, since it uses less digits than its factorization.

130514514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 130514514 is about 11424.2949016559. The cubic root of 130514514 is about 507.2471358743.

Adding to 130514514 its reverse (415415031), we get a palindrome (545929545).

The spelling of 130514514 in words is "one hundred thirty million, five hundred fourteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 131 159 241 262 318 393 482 689 723 786 1378 1446 1703 2067 3133 3406 4134 5109 6266 6943 9399 10218 12773 13886 18798 20829 25546 31571 38319 41658 63142 76638 90259 94713 166049 180518 189426 270777 332098 410423 498147 541554 820846 996294 1231269 1673263 2462538 3346526 5019789 10039578 21752419 43504838 65257257 130514514