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255540560 = 24511535479
BaseRepresentation
bin11110011101100…
…11110101010000
3122210211210202012
433032303311100
51010404244220
641205042052
76222026132
oct1716636520
9583753665
10255540560
11121278450
12716b6328
1340c32542
1425d1d052
151767aac5
hexf3b3d50

255540560 has 80 divisors (see below), whose sum is σ = 660493440. Its totient is φ = 91153920.

The previous prime is 255540499. The next prime is 255540569. The reversal of 255540560 is 65045552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2555405602 = 130601955610227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255540569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43901 + ... + 49379.

It is an arithmetic number, because the mean of its divisors is an integer number (8256168).

Almost surely, 2255540560 is an apocalyptic number.

255540560 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 255540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330246720).

255540560 is an abundant number, since it is smaller than the sum of its proper divisors (404952880).

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

255540560 is a wasteful number, since it uses less digits than its factorization.

255540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 255540560 is about 15985.6360524065. The cubic root of 255540560 is about 634.5803414786.

The spelling of 255540560 in words is "two hundred fifty-five million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5479 5830 9328 10958 11660 21916 23320 27395 43832 46640 54790 60269 87664 109580 120538 219160 241076 290387 301345 438320 482152 580774 602690 964304 1161548 1205380 1451935 2323096 2410760 2903870 3194257 4646192 4821520 5807740 6388514 11615480 12777028 15971285 23230960 25554056 31942570 51108112 63885140 127770280 255540560