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255455760 = 243571953151
BaseRepresentation
bin11110011100111…
…11001000010000
3122210200111102110
433032133020100
51010344041020
641203145320
76221223660
oct1716371020
9583614373
10255455760
1112121a76a
1271675240
1340c02a71
1425cda1a0
15176608e0
hexf39f210

255455760 has 320 divisors, whose sum is σ = 977080320. Its totient is φ = 53913600.

The previous prime is 255455749. The next prime is 255455797. The reversal of 255455760 is 67554552.

255455760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691685 + ... + 1691835.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2255455760 is an apocalyptic number.

255455760 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 255455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

255455760 is an abundant number, since it is smaller than the sum of its proper divisors (721624560).

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

255455760 is a wasteful number, since it uses less digits than its factorization.

255455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 255455760 is about 15982.9834511583. The cubic root of 255455760 is about 634.5101394899.

The spelling of 255455760 in words is "two hundred fifty-five million, four hundred fifty-five thousand, seven hundred sixty".