Search a number
-
+
255256560 = 243251327271
BaseRepresentation
bin11110011011011…
…10011111110000
3122210022101011200
433031232133300
51010321202220
641155011200
76216434136
oct1715563760
9583271150
10255256560
111210a4039
1271599b00
1340b631b0
1425c87756
1517621890
hexf36e7f0

255256560 has 120 divisors (see below), whose sum is σ = 923211744. Its totient is φ = 62830080.

The previous prime is 255256559. The next prime is 255256571. The reversal of 255256560 is 65652552.

255256560 is a `hidden beast` number, since 2 + 552 + 56 + 56 + 0 = 666.

255256560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2552565602 = 130311822846067200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276 + ... + 22995.

Almost surely, 2255256560 is an apocalyptic number.

255256560 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 255256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461605872).

255256560 is an abundant number, since it is smaller than the sum of its proper divisors (667955184).

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

255256560 is a wasteful number, since it uses less digits than its factorization.

255256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27303 (or 27294 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 255256560 is about 15976.7506083058. The cubic root of 255256560 is about 634.3451699110.

The spelling of 255256560 in words is "two hundred fifty-five million, two hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 27271 54542 81813 109084 136355 163626 218168 245439 272710 327252 354523 409065 436336 490878 545420 654504 709046 818130 981756 1063569 1090840 1227195 1309008 1418092 1636260 1772615 1963512 2127138 2181680 2454390 2836184 3190707 3272520 3545230 3927024 4254276 4908780 5317845 5672368 6381414 6545040 7090460 8508552 9817560 10635690 12762828 14180920 15953535 17017104 19635120 21271380 25525656 28361840 31907070 42542760 51051312 63814140 85085520 127628280 255256560