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256666740 = 2235111572477
BaseRepresentation
bin11110100110001…
…10110001110100
3122212222000120120
433103012301310
51011201313430
641245131540
76234426351
oct1723066164
9585860516
10256666740
11121977580
1271b59bb0
1341238015
1426133628
15177ee610
hexf4c6c74

256666740 has 96 divisors (see below), whose sum is σ = 789312384. Its totient is φ = 61800960.

The previous prime is 256666717. The next prime is 256666741. The reversal of 256666740 is 47666652.

It is a junction number, because it is equal to n+sod(n) for n = 256666692 and 256666701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256666741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102382 + ... + 104858.

It is an arithmetic number, because the mean of its divisors is an integer number (8222004).

Almost surely, 2256666740 is an apocalyptic number.

256666740 is a gapful number since it is divisible by the number (20) 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 256666740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394656192).

256666740 is an abundant number, since it is smaller than the sum of its proper divisors (532645644).

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

256666740 is a wasteful number, since it uses less digits than its factorization.

256666740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 256666740 is about 16020.8220762856. The cubic root of 256666740 is about 635.5111844683.

The spelling of 256666740 in words is "two hundred fifty-six million, six hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 2477 3140 3454 4710 4954 5181 6908 7431 8635 9420 9908 10362 12385 14862 17270 20724 24770 25905 27247 29724 34540 37155 49540 51810 54494 74310 81741 103620 108988 136235 148620 163482 272470 326964 388889 408705 544940 777778 817410 1166667 1555556 1634820 1944445 2333334 3888890 4277779 4666668 5833335 7777780 8555558 11666670 12833337 17111116 21388895 23333340 25666674 42777790 51333348 64166685 85555580 128333370 256666740