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130135668 = 223134717749
BaseRepresentation
bin1111100000110…
…11011001110100
3100001212120120120
413300123121310
5231303320133
620525131540
73140064165
oct760333164
9301776516
10130135668
1167504943
12376b9bb0
1320c65470
14133d776c
15b658ab3
hex7c1b674

130135668 has 48 divisors (see below), whose sum is σ = 333984000. Its totient is φ = 39187584.

The previous prime is 130135667. The next prime is 130135669. The reversal of 130135668 is 866531031.

It is an interprime number because it is at equal distance from previous prime (130135667) and next prime (130135669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130135661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543 + ... + 16206.

It is an arithmetic number, because the mean of its divisors is an integer number (6958000).

Almost surely, 2130135668 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 130135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166992000).

130135668 is an abundant number, since it is smaller than the sum of its proper divisors (203848332).

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

130135668 is a wasteful number, since it uses less digits than its factorization.

130135668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 130135668 is about 11407.7021349613. The cubic root of 130135668 is about 506.7558628361.

Adding to 130135668 its reverse (866531031), we get a palindrome (996666699).

It can be divided in two parts, 13013 and 5668, that added together give a palindrome (18681).

The spelling of 130135668 in words is "one hundred thirty million, one hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 17749 35498 53247 70996 106494 212988 230737 461474 692211 834203 922948 1384422 1668406 2502609 2768844 3336812 5005218 10010436 10844639 21689278 32533917 43378556 65067834 130135668