Search a number
-
+
130220560 = 245972173
BaseRepresentation
bin1111100001100…
…00001000010000
3100002000220000201
413300300020100
5231314024220
620531024544
73140566531
oct760601020
9302026021
10130220560
11675626a8
123773b154
1320c94cb2
141341a688
15b673d0a
hex7c30210

130220560 has 60 divisors (see below), whose sum is σ = 307684548. Its totient is φ = 51253248.

The previous prime is 130220513. The next prime is 130220567. The reversal of 130220560 is 65022031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1806336 + 128414224 = 1344^2 + 11332^2 .

It is not an unprimeable number, because it can be changed into a prime (130220567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752634 + ... + 752806.

Almost surely, 2130220560 is an apocalyptic number.

130220560 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 130220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153842274).

130220560 is an abundant number, since it is smaller than the sum of its proper divisors (177463988).

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

130220560 is an equidigital number, since it uses as much as digits as its factorization.

130220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130220560 is about 11411.4223478057. The cubic root of 130220560 is about 506.8660303466.

Adding to 130220560 its reverse (65022031), we get a palindrome (195242591).

The spelling of 130220560 in words is "one hundred thirty million, two hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 173 194 346 388 485 692 776 865 970 1384 1552 1730 1940 2768 3460 3880 6920 7760 9409 13840 16781 18818 33562 37636 47045 67124 75272 83905 94090 134248 150544 167810 188180 268496 335620 376360 671240 752720 1342480 1627757 3255514 6511028 8138785 13022056 16277570 26044112 32555140 65110280 130220560