Search a number
-
+
3086123040 = 25325711132141
BaseRepresentation
bin1011011111110010…
…1000000000100000
321222002002021221100
42313330220000200
522310021414130
61230122154400
7136322420160
oct26774500040
97862067840
103086123040
111344043a10
12721652a00
133a24a9910
14213c245a0
15130e06c60
hexb7f28020

3086123040 has 576 divisors, whose sum is σ = 14146659072. Its totient is φ = 591667200.

The previous prime is 3086123039. The next prime is 3086123063. The reversal of 3086123040 is 403216803.

It is a happy number.

3086123040 is a `hidden beast` number, since 3 + 0 + 8 + 612 + 3 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3086122995 and 3086123013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440370 + ... + 1442510.

It is an arithmetic number, because the mean of its divisors is an integer number (24560172).

Almost surely, 23086123040 is an apocalyptic number.

3086123040 is a gapful number since it is divisible by the number (30) 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 3086123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073329536).

3086123040 is an abundant number, since it is smaller than the sum of its proper divisors (11060536032).

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

3086123040 is a wasteful number, since it uses less digits than its factorization.

3086123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3086123040 is about 55552.8850735945. The cubic root of 3086123040 is about 1455.9207832359.

Adding to 3086123040 its reverse (403216803), we get a palindrome (3489339843).

The spelling of 3086123040 in words is "three billion, eighty-six million, one hundred twenty-three thousand, forty".