Search a number
-
+
255815280 = 24335722417
BaseRepresentation
bin11110011111101…
…10111001110000
3122211100202121000
433033312321300
51010442042110
641215002000
76224252100
oct1717667160
9584322530
10255815280
11121445896
1271809300
1340cca5b6
1425d91200
15176d21c0
hexf3f6e70

255815280 has 240 divisors, whose sum is σ = 1025425440. Its totient is φ = 58447872.

The previous prime is 255815267. The next prime is 255815333. The reversal of 255815280 is 82518552.

255815280 is a `hidden beast` number, since 2 + 55 + 81 + 528 + 0 = 666.

255815280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 104632 + ... + 107048.

It is an arithmetic number, because the mean of its divisors is an integer number (4272606).

Almost surely, 2255815280 is an apocalyptic number.

255815280 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 255815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512712720).

255815280 is an abundant number, since it is smaller than the sum of its proper divisors (769610160).

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

255815280 is a wasteful number, since it uses less digits than its factorization.

255815280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 255815280 is about 15994.2264583193. The cubic root of 255815280 is about 634.8076628304.

The spelling of 255815280 in words is "two hundred fifty-five million, eight hundred fifteen thousand, two hundred eighty".