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266084 = 227131743
BaseRepresentation
bin1000000111101100100
3111111222222
41000331210
532003314
65411512
72155520
oct1007544
9444888
10266084
11171a05
12109b98
1394160
146cd80
1553c8e
hex40f64

266084 has 48 divisors (see below), whose sum is σ = 620928. Its totient is φ = 96768.

The previous prime is 266083. The next prime is 266089. The reversal of 266084 is 480662.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (266081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6167 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2266084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464).

266084 is an abundant number, since it is smaller than the sum of its proper divisors (354844).

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

266084 is a wasteful number, since it uses less digits than its factorization.

266084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 266084 is about 515.8333064082. The cubic root of 266084 is about 64.3190449146.

It can be divided in two parts, 2660 and 84, that added together give a cube (2744 = 143).

The spelling of 266084 in words is "two hundred sixty-six thousand, eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 43 52 68 86 91 119 172 182 221 238 301 364 442 476 559 602 731 884 1118 1204 1462 1547 2236 2924 3094 3913 5117 6188 7826 9503 10234 15652 19006 20468 38012 66521 133042 266084