Search a number
-
+
255674880 = 29365137
BaseRepresentation
bin11110011110101…
…00101000000000
3122211002122000000
433033110220000
51010423044010
641212000000
76223125546
oct1717245000
9584078000
10255674880
1112135a35a
1271760000
1340c7b716
1425d55d96
15176a57c0
hexf3d4a00

255674880 has 280 divisors, whose sum is σ = 925819092. Its totient is φ = 67682304.

The previous prime is 255674827. The next prime is 255674891. The reversal of 255674880 is 88476552.

255674880 is a `hidden beast` number, since 2 + 5 + 567 + 4 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255488256 + 186624 = 15984^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866172 + ... + 1866308.

Almost surely, 2255674880 is an apocalyptic number.

255674880 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 255674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462909546).

255674880 is an abundant number, since it is smaller than the sum of its proper divisors (670144212).

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

255674880 is an frugal number, since it uses more digits than its factorization.

255674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 255674880 is about 15989.8367721500. The cubic root of 255674880 is about 634.6915070035.

The spelling of 255674880 in words is "two hundred fifty-five million, six hundred seventy-four thousand, eight hundred eighty".