Search a number
-
+
285106128 = 24341277523
BaseRepresentation
bin10000111111100…
…101111111010000
3201212110220002020
4100333211333100
51040441344003
644142451440
710031235126
oct2077457720
9655426066
10285106128
11136a314aa
127b593b80
13470b4868
1429c17916
151a06ad53
hex10fe5fd0

285106128 has 80 divisors (see below), whose sum is σ = 758659776. Its totient is φ = 92206080.

The previous prime is 285106123. The next prime is 285106139. The reversal of 285106128 is 821601582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285106121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544875 + ... + 545397.

Almost surely, 2285106128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379329888).

285106128 is an abundant number, since it is smaller than the sum of its proper divisors (473553648).

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

285106128 is a wasteful number, since it uses less digits than its factorization.

285106128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 285106128 is about 16885.0859636544. The cubic root of 285106128 is about 658.1661119835.

The spelling of 285106128 in words is "two hundred eighty-five million, one hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 277 328 492 523 554 656 831 984 1046 1108 1569 1662 1968 2092 2216 3138 3324 4184 4432 6276 6648 8368 11357 12552 13296 21443 22714 25104 34071 42886 45428 64329 68142 85772 90856 128658 136284 144871 171544 181712 257316 272568 289742 343088 434613 514632 545136 579484 869226 1029264 1158968 1738452 2317936 3476904 5939711 6953808 11879422 17819133 23758844 35638266 47517688 71276532 95035376 142553064 285106128