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260142666 = 23726771307
BaseRepresentation
bin11111000000101…
…11011001001010
3200010111121122120
433200113121022
51013044031131
641451432110
76306114300
oct1740273112
9603447576
10260142666
11123931043
1273155636
1341b84194
142679a270
1517c89496
hexf81764a

260142666 has 48 divisors (see below), whose sum is σ = 606587616. Its totient is φ = 74159904.

The previous prime is 260142643. The next prime is 260142677. The reversal of 260142666 is 666241062.

260142666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198385 + ... + 199691.

It is an arithmetic number, because the mean of its divisors is an integer number (12637242).

Almost surely, 2260142666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260142666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303293808).

260142666 is an abundant number, since it is smaller than the sum of its proper divisors (346444950).

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

260142666 is a wasteful number, since it uses less digits than its factorization.

260142666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 260142666 is about 16128.9387747613. The cubic root of 260142666 is about 638.3671478170.

It can be divided in two parts, 26014 and 2666, that added together give a triangular number (28680 = T239).

The spelling of 260142666 in words is "two hundred sixty million, one hundred forty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 677 1307 1354 2031 2614 3921 4062 4739 7842 9149 9478 14217 18298 27447 28434 33173 54894 64043 66346 99519 128086 192129 199038 384258 884839 1769678 2654517 5309034 6193873 12387746 18581619 37163238 43357111 86714222 130071333 260142666