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255286080 = 263557267
BaseRepresentation
bin11110011011101…
…01101101000000
3122210100212200000
433031311231000
51010323123310
641155400000
76216616200
oct1715655500
9583325600
10255286080
11121114235
12715b3000
1340b7376a
1425c94400
151762a4c0
hexf375b40

255286080 has 504 divisors, whose sum is σ = 1075078368. Its totient is φ = 57480192.

The previous prime is 255286063. The next prime is 255286091. The reversal of 255286080 is 80682552.

255286080 is a `hidden beast` number, since 25 + 5 + 28 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3810207 + ... + 3810273.

It is an arithmetic number, because the mean of its divisors is an integer number (2133092).

Almost surely, 2255286080 is an apocalyptic number.

255286080 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 255286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537539184).

255286080 is an abundant number, since it is smaller than the sum of its proper divisors (819792288).

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

255286080 is an equidigital number, since it uses as much as digits as its factorization.

255286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 255286080 is about 15977.6744240205. The cubic root of 255286080 is about 634.3696226258.

The spelling of 255286080 in words is "two hundred fifty-five million, two hundred eighty-six thousand, eighty".