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266280 = 23357317
BaseRepresentation
bin1000001000000101000
3111112021020
41001000220
532010110
65412440
72156220
oct1010050
9445236
10266280
11172073
1210a120
1394281
146d080
1553d70
hex41028

266280 has 64 divisors (see below), whose sum is σ = 915840. Its totient is φ = 60672.

The previous prime is 266269. The next prime is 266281. The reversal of 266280 is 82662.

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

It is a self number, because there is not a number n which added to its sum of digits gives 266280.

It is not an unprimeable number, because it can be changed into a prime (266281) by changing a digit.

266280 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 15 ways as a sum of consecutive naturals, for example, 682 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2266280 is an apocalyptic number.

266280 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 266280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457920).

266280 is an abundant number, since it is smaller than the sum of its proper divisors (649560).

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

266280 is a wasteful number, since it uses less digits than its factorization.

266280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

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

The square root of 266280 is about 516.0232552899. The cubic root of 266280 is about 64.3348337115.

Subtracting from 266280 its sum of digits (24), we obtain a square (266256 = 5162).

The spelling of 266280 in words is "two hundred sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 317 420 634 840 951 1268 1585 1902 2219 2536 3170 3804 4438 4755 6340 6657 7608 8876 9510 11095 12680 13314 17752 19020 22190 26628 33285 38040 44380 53256 66570 88760 133140 266280