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255310080 = 2835173911
BaseRepresentation
bin11110011011110…
…11100100000000
3122210102002120220
433031323210000
51010324410310
641200103040
76220046154
oct1715734400
9583362526
10255310080
11121130273
1271604a80
1340b8166c
1425c9d064
1517632670
hexf37b900

255310080 has 144 divisors (see below), whose sum is σ = 863581824. Its totient is φ = 64061440.

The previous prime is 255310073. The next prime is 255310109. The reversal of 255310080 is 80013552.

255310080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 255310080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63325 + ... + 67235.

It is an arithmetic number, because the mean of its divisors is an integer number (5997096).

Almost surely, 2255310080 is an apocalyptic number.

255310080 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 255310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431790912).

255310080 is an abundant number, since it is smaller than the sum of its proper divisors (608271744).

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

255310080 is a wasteful number, since it uses less digits than its factorization.

255310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 255310080 is about 15978.4254543431. The cubic root of 255310080 is about 634.3895014925.

The spelling of 255310080 in words is "two hundred fifty-five million, three hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 3911 4080 4352 5440 6528 7822 8160 10880 11733 13056 15644 16320 19555 21760 23466 31288 32640 39110 46932 58665 62576 65280 66487 78220 93864 117330 125152 132974 156440 187728 199461 234660 250304 265948 312880 332435 375456 398922 469320 500608 531896 625760 664870 750912 797844 938640 997305 1001216 1063792 1251520 1329740 1501824 1595688 1877280 1994610 2127584 2503040 2659480 3003648 3191376 3754560 3989220 4255168 5006080 5318960 6382752 7509120 7978440 8510336 10637920 12765504 15018240 15956880 17020672 21275840 25531008 31913760 42551680 51062016 63827520 85103360 127655040 255310080