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260243021790 = 23254785771789
BaseRepresentation
bin1111001001011110110…
…0010101111111011110
3220212201210011021110200
43302113230111333132
513230434203144130
6315315355044330
724542031121023
oct3622754257736
9825653137420
10260243021790
11a0406446114
124252aa406a6
131b70521772b
14c84ad5554a
156b821cd760
hex3c97b15fde

260243021790 has 96 divisors (see below), whose sum is σ = 691844250240. Its totient is φ = 67841382912.

The previous prime is 260243021789. The next prime is 260243021791. The reversal of 260243021790 is 97120342062.

260243021790 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 430 + 217 + 9 + 0 = 666.

260243021790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260243021789) and next prime (260243021791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260243021791) 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, 3589216 + ... + 3661004.

It is an arithmetic number, because the mean of its divisors is an integer number (7206710940).

Almost surely, 2260243021790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260243021790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345922125120).

260243021790 is an abundant number, since it is smaller than the sum of its proper divisors (431601228450).

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

260243021790 is a wasteful number, since it uses less digits than its factorization.

260243021790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72706 (or 72703 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 260243021790 in words is "two hundred sixty billion, two hundred forty-three million, twenty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 857 1410 1714 2115 2571 4230 4285 5142 7713 8570 12855 15426 25710 38565 40279 71789 77130 80558 120837 143578 201395 215367 241674 358945 362511 402790 430734 604185 646101 717890 725022 1076835 1208370 1292202 1812555 2153670 3230505 3374083 3625110 6461010 6748166 10122249 16870415 20244498 30366747 33740830 50611245 60733494 61523173 101222490 123046346 151833735 184569519 303667470 307615865 369139038 553708557 615231730 922847595 1107417114 1845695190 2768542785 2891589131 5537085570 5783178262 8674767393 14457945655 17349534786 26024302179 28915891310 43373836965 52048604358 86747673930 130121510895 260243021790