Search a number
-
+
3085135560 = 2333513216903
BaseRepresentation
bin1011011111100011…
…0110111011001000
321222000020010101000
42313320312323020
522304243314220
61230045055000
7136311135213
oct26770667310
97860203330
103085135560
11134352a011
12721257460
133a2222300
14213a4877a
15130cae390
hexb7e36ec8

3085135560 has 192 divisors, whose sum is σ = 11136355200. Its totient is φ = 759373056.

The previous prime is 3085135549. The next prime is 3085135561. The reversal of 3085135560 is 655315803.

3085135560 is a `hidden beast` number, since 3 + 0 + 85 + 13 + 5 + 560 = 666.

It is a super-2 number, since 2×30851355602 = 19036122847153027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085135561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174069 + ... + 190971.

It is an arithmetic number, because the mean of its divisors is an integer number (58001850).

Almost surely, 23085135560 is an apocalyptic number.

3085135560 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 3085135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568177600).

3085135560 is an abundant number, since it is smaller than the sum of its proper divisors (8051219640).

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

3085135560 is a wasteful number, since it uses less digits than its factorization.

3085135560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16949 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3085135560 is about 55543.9966152959. The cubic root of 3085135560 is about 1455.7654809353.

The spelling of 3085135560 in words is "three billion, eighty-five million, one hundred thirty-five thousand, five hundred sixty".