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266064 = 24323241
BaseRepresentation
bin1000000111101010000
3111111222020
41000331100
532003224
65411440
72155461
oct1007520
9444866
10266064
11171997
12109b80
1394146
146cd68
1553c79
hex40f50

266064 has 40 divisors (see below), whose sum is σ = 720192. Its totient is φ = 84480.

The previous prime is 266059. The next prime is 266081. The reversal of 266064 is 460662.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 25 + 64 + 0 + 64 + 64 + 49 .

It is a congruent number.

It is an unprimeable number.

266064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 984 + ... + 1224.

2266064 is an apocalyptic number.

266064 is a gapful number since it is divisible by the number (24) 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 266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360096).

266064 is an abundant number, since it is smaller than the sum of its proper divisors (454128).

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

266064 is a wasteful number, since it uses less digits than its factorization.

266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 266064 is about 515.8139199362. The cubic root of 266064 is about 64.3174333770.

It can be divided in two parts, 2 and 66064, that added together give a palindrome (66066).

The spelling of 266064 in words is "two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 241 276 368 482 552 723 964 1104 1446 1928 2892 3856 5543 5784 11086 11568 16629 22172 33258 44344 66516 88688 133032 266064