Search a number
-
+
266880 = 2735139
BaseRepresentation
bin1000001001010000000
3111120002110
41001022000
532020010
65415320
72161035
oct1011200
9446073
10266880
11172569
1210a540
1394623
146d38c
1554120
hex41280

266880 has 64 divisors (see below), whose sum is σ = 856800. Its totient is φ = 70656.

The previous prime is 266867. The next prime is 266891. The reversal of 266880 is 88662.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

266880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 1989.

2266880 is an apocalyptic number.

266880 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 266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400).

266880 is an abundant number, since it is smaller than the sum of its proper divisors (589920).

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

266880 is a wasteful number, since it uses less digits than its factorization.

266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 266880 is about 516.6042973108. The cubic root of 266880 is about 64.3831186543.

The spelling of 266880 in words is "two hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 17792 22240 26688 33360 44480 53376 66720 88960 133440 266880