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255249680 = 24573797127
BaseRepresentation
bin11110011011011…
…00110100010000
3122210022000201212
433031230310100
51010320442210
641154515252
76216405110
oct1715546420
9583260655
10255249680
11121099954
1271595b28
1340b6001a
1425c85040
151761e805
hexf36cd10

255249680 has 160 divisors (see below), whose sum is σ = 709287936. Its totient is φ = 83607552.

The previous prime is 255249649. The next prime is 255249689. The reversal of 255249680 is 86942552.

255249680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255249689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2009777 + ... + 2009903.

Almost surely, 2255249680 is an apocalyptic number.

255249680 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 255249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354643968).

255249680 is an abundant number, since it is smaller than the sum of its proper divisors (454038256).

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

255249680 is a wasteful number, since it uses less digits than its factorization.

255249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 255249680 is about 15976.5352939866. The cubic root of 255249680 is about 634.3394706334.

The spelling of 255249680 in words is "two hundred fifty-five million, two hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 97 112 127 140 148 185 194 254 259 280 296 370 388 485 508 518 560 592 635 679 740 776 889 970 1016 1036 1270 1295 1358 1480 1552 1778 1940 2032 2072 2540 2590 2716 2960 3395 3556 3589 3880 4144 4445 4699 5080 5180 5432 6790 7112 7178 7760 8890 9398 10160 10360 10864 12319 13580 14224 14356 17780 17945 18796 20720 23495 24638 25123 27160 28712 32893 35560 35890 37592 46990 49276 50246 54320 57424 61595 65786 71120 71780 75184 86233 93980 98552 100492 123190 125615 131572 143560 164465 172466 187960 197104 200984 246380 251230 263144 287120 328930 344932 375920 401968 431165 455803 492760 502460 526288 657860 689864 862330 911606 985520 1004920 1315720 1379728 1724660 1823212 2009840 2279015 2631440 3190621 3449320 3646424 4558030 6381242 6898640 7292848 9116060 12762484 15953105 18232120 25524968 31906210 36464240 51049936 63812420 127624840 255249680