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266004 = 2234821
BaseRepresentation
bin1000000111100010100
3111111220000
41000330110
532003004
65411300
72155344
oct1007424
9444800
10266004
11171942
12109b30
13940cb
146cd24
1553c39
hex40f14

266004 has 30 divisors (see below), whose sum is σ = 696234. Its totient is φ = 88560.

The previous prime is 266003. The next prime is 266009. The reversal of 266004 is 400662.

266004 is a `hidden beast` number, since 2 + 660 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 63504 = 450^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87 + ... + 734.

2266004 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 266004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348117).

266004 is an abundant number, since it is smaller than the sum of its proper divisors (430230).

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

266004 is a wasteful number, since it uses less digits than its factorization.

266004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 266004 is about 515.7557561482. The cubic root of 266004 is about 64.3125982795.

Adding to 266004 its reverse (400662), we get a palindrome (666666).

The spelling of 266004 in words is "two hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 821 1642 2463 3284 4926 7389 9852 14778 22167 29556 44334 66501 88668 133002 266004