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260666868 = 2237211191211
BaseRepresentation
bin11111000100101…
…11010111110100
3200011111020201110
433202113113310
51013212314433
641510555020
76313426500
oct1742272764
9604436643
10260666868
11124159970
1273368a70
1342008967
1426895300
1517d3e963
hexf8975f4

260666868 has 144 divisors (see below), whose sum is σ = 779563008. Its totient is φ = 67032000.

The previous prime is 260666863. The next prime is 260666869. The reversal of 260666868 is 868666062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260666863) 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 47 ways as a sum of consecutive naturals, for example, 1235283 + ... + 1235493.

It is an arithmetic number, because the mean of its divisors is an integer number (5413632).

Almost surely, 2260666868 is an apocalyptic number.

260666868 is a gapful number since it is divisible by the number (28) 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 260666868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389781504).

260666868 is an abundant number, since it is smaller than the sum of its proper divisors (518896140).

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

260666868 is a wasteful number, since it uses less digits than its factorization.

260666868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 260666868 is about 16145.1809528416. The cubic root of 260666868 is about 638.7956419503.

The spelling of 260666868 in words is "two hundred sixty million, six hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 191 196 211 231 294 308 382 422 462 539 573 588 633 764 844 924 1078 1146 1266 1337 1477 1617 2101 2156 2292 2321 2532 2674 2954 3234 4011 4202 4431 4642 5348 5908 6303 6468 6963 8022 8404 8862 9284 9359 10339 12606 13926 14707 16044 16247 17724 18718 20678 25212 27852 28077 29414 31017 32494 37436 40301 41356 44121 48741 56154 58828 62034 64988 80602 88242 97482 102949 112308 113729 120903 124068 161204 176484 194964 205898 227458 241806 282107 308847 341187 411796 443311 454916 483612 564214 617694 682374 846321 886622 1128428 1235388 1329933 1364748 1692642 1773244 1974749 2659866 3103177 3385284 3949498 5319732 5924247 6206354 7898996 9309531 11848494 12412708 18619062 21722239 23696988 37238124 43444478 65166717 86888956 130333434 260666868