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256040 = 23537173
BaseRepresentation
bin111110100000101000
3111000012222
4332200220
531143130
65253212
72114321
oct764050
9430188
10256040
11165404
12104208
138c705
1469448
1550ce5
hex3e828

256040 has 32 divisors (see below), whose sum is σ = 595080. Its totient is φ = 99072.

The previous prime is 256033. The next prime is 256049. The reversal of 256040 is 40652.

256040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 256036 + 4 = 506^2 + 2^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1394 + ... + 1566.

256040 is a Friedman number, since it can be written as 506^(2+0)+4, using all its digits and the basic arithmetic operations.

It is the magic constant of a 80 × 80 magic square.

2256040 is an apocalyptic number.

256040 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 256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297540).

256040 is an abundant number, since it is smaller than the sum of its proper divisors (339040).

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

256040 is a wasteful number, since it uses less digits than its factorization.

256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 256040 is about 506.0039525537. The cubic root of 256040 is about 63.4993489920.

Adding to 256040 its reverse (40652), we get a palindrome (296692).

It can be divided in two parts, 2560 and 40, that multiplied together give a square (102400 = 3202).

The spelling of 256040 in words is "two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 173 185 296 346 370 692 740 865 1384 1480 1730 3460 6401 6920 12802 25604 32005 51208 64010 128020 256040