Search a number
-
+
255996 = 223213547
BaseRepresentation
bin111110011111111100
3111000011100
4332133330
531142441
65253100
72114226
oct763774
9430140
10255996
11165374
12104190
138c6a0
1469416
1550cb6
hex3e7fc

255996 has 36 divisors (see below), whose sum is σ = 698152. Its totient is φ = 78624.

The previous prime is 255989. The next prime is 256019. The reversal of 255996 is 699552.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 217 + 53 + 9 + 57 + 9 + 66 .

It is a zygodrome in base 2 and base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 255996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 741.

2255996 is an apocalyptic number.

255996 is a gapful number since it is divisible by the number (26) 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 255996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349076).

255996 is an abundant number, since it is smaller than the sum of its proper divisors (442156).

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

255996 is a wasteful number, since it uses less digits than its factorization.

255996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 565 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 255996 is about 505.9604727644. The cubic root of 255996 is about 63.4957113685.

Subtracting 255996 from its reverse (699552), we obtain a square (443556 = 6662).

The spelling of 255996 in words is "two hundred fifty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 547 1094 1641 2188 3282 4923 6564 7111 9846 14222 19692 21333 28444 42666 63999 85332 127998 255996