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255942720 = 26335112693
BaseRepresentation
bin11110100000101…
…10000001000000
3122211121020102000
433100112001000
51011010131340
641221424000
76225322455
oct1720260100
9584536360
10255942720
11121522610
127186b000
13410435c7
1425dc582c
1517709d30
hexf416040

255942720 has 224 divisors, whose sum is σ = 985357440. Its totient is φ = 62023680.

The previous prime is 255942703. The next prime is 255942733. The reversal of 255942720 is 27249552.

It is a happy number.

255942720 is a `hidden beast` number, since 25 + 594 + 27 + 20 = 666.

255942720 is digitally balanced in base 3, 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 (36).

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, 93694 + ... + 96386.

Almost surely, 2255942720 is an apocalyptic number.

255942720 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 255942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492678720).

255942720 is an abundant number, since it is smaller than the sum of its proper divisors (729414720).

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

255942720 is a wasteful number, since it uses less digits than its factorization.

255942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 255942720 is about 15998.2098998607. The cubic root of 255942720 is about 634.9130597900.

The spelling of 255942720 in words is "two hundred fifty-five million, nine hundred forty-two thousand, seven hundred twenty".