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1306227912 = 2331121726459
BaseRepresentation
bin100110111011011…
…0111010011001000
310101000220020211120
41031312313103020
510133343243122
6333340555240
744240516433
oct11566672310
93330806746
101306227912
11610371400
12305552b20
1317a808932
14c56a281a
1579a2075c
hex4ddb74c8

1306227912 has 96 divisors (see below), whose sum is σ = 3800714400. Its totient is φ = 372528640.

The previous prime is 1306227863. The next prime is 1306227917. The reversal of 1306227912 is 2197226031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1306227917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36139 + ... + 62597.

It is an arithmetic number, because the mean of its divisors is an integer number (39590775).

Almost surely, 21306227912 is an apocalyptic number.

1306227912 is a gapful number since it is divisible by the number (12) 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 1306227912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900357200).

1306227912 is an abundant number, since it is smaller than the sum of its proper divisors (2494486488).

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

1306227912 is a wasteful number, since it uses less digits than its factorization.

1306227912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26507 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1306227912 is about 36141.7751639291. The cubic root of 1306227912 is about 1093.1329531481.

The spelling of 1306227912 in words is "one billion, three hundred six million, two hundred twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 12342 16456 24684 26459 49368 52918 79377 105836 158754 211672 291049 317508 449803 582098 635016 873147 899606 1164196 1349409 1746294 1799212 2328392 2698818 3201539 3492588 3598424 4947833 5397636 6403078 6985176 9604617 9895666 10795272 12806156 14843499 19209234 19791332 25612312 29686998 38418468 39582664 54426163 59373996 76836936 108852326 118747992 163278489 217704652 326556978 435409304 653113956 1306227912