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130618260 = 22325977481
BaseRepresentation
bin1111100100100…
…01001110010100
3100002210002120100
413302101032110
5231414241020
620543334100
73144144153
oct762211624
9302702510
10130618260
1167804483
12378b1330
13210a4016
14134c159a
15b701a90
hex7c91394

130618260 has 72 divisors (see below), whose sum is σ = 400346856. Its totient is φ = 34467840.

The previous prime is 130618253. The next prime is 130618261. The reversal of 130618260 is 62816031.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 100280196 = 5508^2 + 10014^2 .

It is a super-2 number, since 2×1306182602 = 34122259690855200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130618261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13720 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (5560373).

Almost surely, 2130618260 is an apocalyptic number.

130618260 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 130618260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200173428).

130618260 is an abundant number, since it is smaller than the sum of its proper divisors (269728596).

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

130618260 is a wasteful number, since it uses less digits than its factorization.

130618260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130618260 is about 11428.8345862559. The cubic root of 130618260 is about 507.3815038770.

It can be divided in two parts, 13061 and 8260, that added together give a triangular number (21321 = T206).

The spelling of 130618260 in words is "one hundred thirty million, six hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 7481 8730 14962 17460 22443 29924 37405 44886 67329 74810 89772 112215 134658 149620 224430 269316 336645 448860 673290 725657 1346580 1451314 2176971 2902628 3628285 4353942 6530913 7256570 8707884 10884855 13061826 14513140 21769710 26123652 32654565 43539420 65309130 130618260