Search a number
-
+
130110760 = 23513534721
BaseRepresentation
bin1111100000101…
…01010100101000
3100001211022102001
413300111110220
5231302021020
620524420344
73136631443
oct760252450
9301738361
10130110760
116749815a
12376a76b4
1320c57020
14133cc65a
15b65150a
hex7c15528

130110760 has 64 divisors (see below), whose sum is σ = 321284880. Its totient is φ = 47124480.

The previous prime is 130110749. The next prime is 130110763. The reversal of 130110760 is 67011031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48135844 + 81974916 = 6938^2 + 9054^2 .

It is not an unprimeable number, because it can be changed into a prime (130110763) 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, 25200 + ... + 29920.

Almost surely, 2130110760 is an apocalyptic number.

130110760 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 130110760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160642440).

130110760 is an abundant number, since it is smaller than the sum of its proper divisors (191174120).

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

130110760 is a wasteful number, since it uses less digits than its factorization.

130110760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 130110760 is about 11406.6103641704. The cubic root of 130110760 is about 506.7235297061.

Adding to 130110760 its reverse (67011031), we get a palindrome (197121791).

The spelling of 130110760 in words is "one hundred thirty million, one hundred ten thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 4721 5512 6890 9442 13780 18884 23605 27560 37768 47210 61373 94420 122746 188840 245492 250213 306865 490984 500426 613730 1000852 1227460 1251065 2001704 2454920 2502130 3252769 5004260 6505538 10008520 13011076 16263845 26022152 32527690 65055380 130110760