Search a number
-
+
286136620 = 2257112943149
BaseRepresentation
bin10001000011100…
…001100100101100
3201221102020122121
4101003201210230
51041222332440
644220522324
710043056360
oct2103414454
9657366577
10286136620
11137575750
127b9b03a4
1347385913
142a0052a0
151a1c134a
hex110e192c

286136620 has 192 divisors, whose sum is σ = 798336000. Its totient is φ = 83543040.

The previous prime is 286136573. The next prime is 286136621. The reversal of 286136620 is 26631682.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (286136621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1920306 + ... + 1920454.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2286136620 is an apocalyptic number.

286136620 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 286136620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

286136620 is an abundant number, since it is smaller than the sum of its proper divisors (512199380).

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

286136620 is a wasteful number, since it uses less digits than its factorization.

286136620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 286136620 is about 16915.5732979997. The cubic root of 286136620 is about 658.9581204586.

The spelling of 286136620 in words is "two hundred eighty-six million, one hundred thirty-six thousand, six hundred twenty".