Search a number
-
+
266208 = 2534759
BaseRepresentation
bin1000000111111100000
3111112011120
41000333200
532004313
65412240
72156055
oct1007740
9445146
10266208
11172008
1210a080
1394227
146d02c
1553d23
hex40fe0

266208 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 85376.

The previous prime is 266183. The next prime is 266221. The reversal of 266208 is 802662.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 266208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4483 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2266208 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 266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

266208 is an abundant number, since it is smaller than the sum of its proper divisors (459552).

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

266208 is a wasteful number, since it uses less digits than its factorization.

266208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 266208 is about 515.9534862757. The cubic root of 266208 is about 64.3290346459.

It can be divided in two parts, 266 and 208, that added together give a palindrome (474).

The spelling of 266208 in words is "two hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 59 94 96 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 1504 1888 2256 2773 2832 4512 5546 5664 8319 11092 16638 22184 33276 44368 66552 88736 133104 266208