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266240 = 212513
BaseRepresentation
bin1000001000000000000
3111112012202
41001000000
532004430
65412332
72156132
oct1010000
9445182
10266240
11172037
1210a0a8
1394250
146d052
1553d45
hex41000

266240 has 52 divisors (see below), whose sum is σ = 688044. Its totient is φ = 98304.

The previous prime is 266239. The next prime is 266261. The reversal of 266240 is 42662.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 200704 = 256^2 + 448^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20474 + ... + 20486.

266240 is a Friedman number, since it can be written as 4^6*(2^6+2^0), using all its digits and the basic arithmetic operations.

2266240 is an apocalyptic number.

266240 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 266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344022).

266240 is an abundant number, since it is smaller than the sum of its proper divisors (421804).

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

266240 is an equidigital number, since it uses as much as digits as its factorization.

266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 266240 is about 515.9844958911. The cubic root of 266240 is about 64.3316121374.

The spelling of 266240 in words is "two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8320 10240 13312 16640 20480 26624 33280 53248 66560 133120 266240