Search a number
-
+
255035760 = 24357315983
BaseRepresentation
bin11110011001110…
…00100101110000
3122202220011021220
433030320211300
51010242121020
641150145040
76214524330
oct1714704560
9582804256
10255035760
11120a63161
12714b2180
1340ab6845
1425c2b0c0
15175cb240
hexf338970

255035760 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 54789120.

The previous prime is 255035747. The next prime is 255035777. The reversal of 255035760 is 67530552.

255035760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3072679 + ... + 3072761.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2255035760 is an apocalyptic number.

255035760 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 255035760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

255035760 is an abundant number, since it is smaller than the sum of its proper divisors (704902800).

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

255035760 is a wasteful number, since it uses less digits than its factorization.

255035760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 255035760 is about 15969.8390724515. The cubic root of 255035760 is about 634.1622117421.

The spelling of 255035760 in words is "two hundred fifty-five million, thirty-five thousand, seven hundred sixty".