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255278320 = 245112631103
BaseRepresentation
bin11110011011100…
…11110011110000
3122210100111000121
433031303303300
51010322401240
641155300024
76216554443
oct1715636360
9583314017
10255278320
11121109420
12715aa614
1340b7007b
1425c9165a
151762804a
hexf373cf0

255278320 has 80 divisors (see below), whose sum is σ = 650529792. Its totient is φ = 92391680.

The previous prime is 255278267. The next prime is 255278323. The reversal of 255278320 is 23872552.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255278323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230889 + ... + 231991.

Almost surely, 2255278320 is an apocalyptic number.

255278320 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 255278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325264896).

255278320 is an abundant number, since it is smaller than the sum of its proper divisors (395251472).

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

255278320 is a wasteful number, since it uses less digits than its factorization.

255278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 255278320 is about 15977.4315833303. The cubic root of 255278320 is about 634.3631948591.

The spelling of 255278320 in words is "two hundred fifty-five million, two hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 263 440 526 880 1052 1103 1315 2104 2206 2630 2893 4208 4412 5260 5515 5786 8824 10520 11030 11572 12133 14465 17648 21040 22060 23144 24266 28930 44120 46288 48532 57860 60665 88240 97064 115720 121330 194128 231440 242660 290089 485320 580178 970640 1160356 1450445 2320712 2900890 3190979 4641424 5801780 6381958 11603560 12763916 15954895 23207120 25527832 31909790 51055664 63819580 127639160 255278320