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266900 = 225217157
BaseRepresentation
bin1000001001010010100
3111120010012
41001022110
532020100
65415352
72161064
oct1011224
9446105
10266900
11172587
1210a558
139463a
146d3a4
1554135
hex41294

266900 has 36 divisors (see below), whose sum is σ = 617148. Its totient is φ = 99840.

The previous prime is 266899. The next prime is 266909. The reversal of 266900 is 9662.

It can be written as a sum of positive squares in 6 ways, for example, as 2704 + 264196 = 52^2 + 514^2 .

It is a super-2 number, since 2×2669002 = 142471220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (17143).

2266900 is an apocalyptic number.

266900 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 266900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308574).

266900 is an abundant number, since it is smaller than the sum of its proper divisors (350248).

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

266900 is a wasteful number, since it uses less digits than its factorization.

266900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 266900 is about 516.6236541236. The cubic root of 266900 is about 64.3847269055.

The spelling of 266900 in words is "two hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 157 170 314 340 425 628 785 850 1570 1700 2669 3140 3925 5338 7850 10676 13345 15700 26690 53380 66725 133450 266900