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1306123260 = 2235132177577
BaseRepresentation
bin100110111011001…
…1101101111111100
310101000200221021120
41031312131233330
510133331421020
6333334430540
744236602351
oct11566355774
93330627246
101306123260
116102aa812
12305502450
1317a7a0100
14c5676628
15799ee740
hex4dd9dbfc

1306123260 has 144 divisors (see below), whose sum is σ = 4193604576. Its totient is φ = 302555136.

The previous prime is 1306123249. The next prime is 1306123261. The reversal of 1306123260 is 623216031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1306123260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306123261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168592 + ... + 176168.

It is an arithmetic number, because the mean of its divisors is an integer number (29122254).

Almost surely, 21306123260 is an apocalyptic number.

1306123260 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 1306123260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096802288).

1306123260 is an abundant number, since it is smaller than the sum of its proper divisors (2887481316).

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

1306123260 is a wasteful number, since it uses less digits than its factorization.

1306123260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1306123260 is about 36140.3273366471. The cubic root of 1306123260 is about 1093.1037592624.

Adding to 1306123260 its reverse (623216031), we get a palindrome (1929339291).

The spelling of 1306123260 in words is "one billion, three hundred six million, one hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 663 676 780 845 884 1014 1020 1105 1326 1690 2028 2210 2535 2652 2873 3315 3380 4420 5070 5746 6630 7577 8619 10140 11492 13260 14365 15154 17238 22731 28730 30308 34476 37885 43095 45462 57460 75770 86190 90924 98501 113655 128809 151540 172380 197002 227310 257618 295503 386427 394004 454620 492505 515236 591006 644045 772854 985010 1182012 1280513 1288090 1477515 1545708 1674517 1932135 1970020 2561026 2576180 2955030 3349034 3841539 3864270 5023551 5122052 5910060 6402565 6698068 7683078 7728540 8372585 10047102 12805130 15366156 16745170 19207695 20094204 21768721 25117755 25610260 33490340 38415390 43537442 50235510 65306163 76830780 87074884 100471020 108843605 130612326 217687210 261224652 326530815 435374420 653061630 1306123260