Search a number
-
+
130243560 = 2335432587
BaseRepresentation
bin1111100001101…
…01101111101000
3100002002001120120
413300311233220
5231320243220
620531323240
73141023556
oct760655750
9302061516
10130243560
1167578a07
1237750520
1320ca25c5
1413424bd6
15b67aa40
hex7c35be8

130243560 has 96 divisors (see below), whose sum is σ = 400710240. Its totient is φ = 33866112.

The previous prime is 130243523. The next prime is 130243567. The reversal of 130243560 is 65342031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130243560.

It is not an unprimeable number, because it can be changed into a prime (130243567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221587 + ... + 222173.

It is an arithmetic number, because the mean of its divisors is an integer number (4174065).

Almost surely, 2130243560 is an apocalyptic number.

130243560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130243560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200355120).

130243560 is an abundant number, since it is smaller than the sum of its proper divisors (270466680).

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

130243560 is a wasteful number, since it uses less digits than its factorization.

130243560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 130243560 is about 11412.4300655031. The cubic root of 130243560 is about 506.8958700596.

Adding to 130243560 its reverse (65342031), we get a palindrome (195585591).

The spelling of 130243560 in words is "one hundred thirty million, two hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 587 645 860 1032 1174 1290 1720 1761 1849 2348 2580 2935 3522 3698 4696 5160 5547 5870 7044 7396 8805 9245 11094 11740 14088 14792 17610 18490 22188 23480 25241 27735 35220 36980 44376 50482 55470 70440 73960 75723 100964 110940 126205 151446 201928 221880 252410 302892 378615 504820 605784 757230 1009640 1085363 1514460 2170726 3028920 3256089 4341452 5426815 6512178 8682904 10853630 13024356 16280445 21707260 26048712 32560890 43414520 65121780 130243560