Search a number
-
+
130365246 = 2311103127151
BaseRepresentation
bin1111100010100…
…11011100111110
3100002022020111110
413301103130332
5231333141441
620534102450
73142041414
oct761233476
9302266443
10130365246
1167651380
12377aaa26
1321015acb
14134572b4
15b6a1b16
hex7c5373e

130365246 has 64 divisors (see below), whose sum is σ = 291373056. Its totient is φ = 38556000.

The previous prime is 130365239. The next prime is 130365253. The reversal of 130365246 is 642563031.

It is an interprime number because it is at equal distance from previous prime (130365239) and next prime (130365253).

It is a super-4 number, since 4×1303652464 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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, 863271 + ... + 863421.

It is an arithmetic number, because the mean of its divisors is an integer number (4552704).

Almost surely, 2130365246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130365246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145686528).

130365246 is an abundant number, since it is smaller than the sum of its proper divisors (161007810).

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

130365246 is a wasteful number, since it uses less digits than its factorization.

130365246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 130365246 is about 11417.7601130870. The cubic root of 130365246 is about 507.0536844678.

The spelling of 130365246 in words is "one hundred thirty million, three hundred sixty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 103 127 151 206 254 302 309 381 453 618 762 906 1133 1397 1661 2266 2794 3322 3399 4191 4983 6798 8382 9966 13081 15553 19177 26162 31106 38354 39243 46659 57531 78486 93318 115062 143891 171083 210947 287782 342166 421894 431673 513249 632841 863346 1026498 1265682 1975231 3950462 5925693 11851386 21727541 43455082 65182623 130365246