Search a number
-
+
266748000 = 2535322229
BaseRepresentation
bin11111110011001…
…00000001100000
3200120221012110120
433321210001200
51021241414000
642245200240
76416214651
oct1771440140
9616835416
10266748000
111276327a2
1275400080
134335786c
14275d9528
15186416a0
hexfe64060

266748000 has 96 divisors (see below), whose sum is σ = 873905760. Its totient is φ = 71129600.

The previous prime is 266747989. The next prime is 266748017. The reversal of 266748000 is 847662.

266748000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886 + ... + 23114.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2266748000 is an apocalyptic number.

266748000 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 266748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

266748000 is an abundant number, since it is smaller than the sum of its proper divisors (607157760).

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

266748000 is a wasteful number, since it uses less digits than its factorization.

266748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22257 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 266748000 is about 16332.4217432688. The cubic root of 266748000 is about 643.7250218102.

The spelling of 266748000 in words is "two hundred sixty-six million, seven hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 22229 44458 66687 88916 111145 133374 177832 222290 266748 333435 355664 444580 533496 555725 666870 711328 889160 1066992 1111450 1333740 1667175 1778320 2133984 2222900 2667480 2778625 3334350 3556640 4445800 5334960 5557250 6668700 8335875 8891600 10669920 11114500 13337400 16671750 17783200 22229000 26674800 33343500 44458000 53349600 66687000 88916000 133374000 266748000