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255960320 = 285731153
BaseRepresentation
bin11110100000110…
…10010100000000
3122211122010112212
433100122110000
51011011212240
641222041252
76225425000
oct1720322400
9584563485
10255960320
11121534860
1271879228
134104b615
1425dcc000
1517710165
hexf41a500

255960320 has 288 divisors, whose sum is σ = 794707200. Its totient is φ = 78274560.

The previous prime is 255960311. The next prime is 255960337. The reversal of 255960320 is 23069552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4829414 + ... + 4829466.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2255960320 is an apocalyptic number.

255960320 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 255960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397353600).

255960320 is an abundant number, since it is smaller than the sum of its proper divisors (538746880).

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

255960320 is an equidigital number, since it uses as much as digits as its factorization.

255960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 255960320 is about 15998.7599519463. The cubic root of 255960320 is about 634.9276128037.

The spelling of 255960320 in words is "two hundred fifty-five million, nine hundred sixty thousand, three hundred twenty".