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260104248 = 233229432897
BaseRepresentation
bin11111000000011…
…10000000111000
3200010102122221200
433200032000320
51013041313443
641450534200
76305564265
oct1740160070
9603378850
10260104248
11123905198
1273137360
1341b6c851
142678a26c
1517c7cdd3
hexf80e038

260104248 has 96 divisors (see below), whose sum is σ = 745945200. Its totient is φ = 81736704.

The previous prime is 260104213. The next prime is 260104259. The reversal of 260104248 is 842401062.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88336 + ... + 91232.

Almost surely, 2260104248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260104248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372972600).

260104248 is an abundant number, since it is smaller than the sum of its proper divisors (485840952).

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

260104248 is a wasteful number, since it uses less digits than its factorization.

260104248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 260104248 is about 16127.7477658847. The cubic root of 260104248 is about 638.3357214759.

The spelling of 260104248 in words is "two hundred sixty million, one hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 43 58 72 86 87 116 129 172 174 232 258 261 344 348 387 516 522 696 774 1032 1044 1247 1548 2088 2494 2897 3096 3741 4988 5794 7482 8691 9976 11223 11588 14964 17382 22446 23176 26073 29928 34764 44892 52146 69528 84013 89784 104292 124571 168026 208584 249142 252039 336052 373713 498284 504078 672104 747426 756117 996568 1008156 1121139 1494852 1512234 2016312 2242278 2989704 3024468 3612559 4484556 6048936 7225118 8969112 10837677 14450236 21675354 28900472 32513031 43350708 65026062 86701416 130052124 260104248