Search a number
-
+
30560385240 = 233357111721617
BaseRepresentation
bin11100011101100010…
…100111100011011000
32220212210202102102000
4130131202213203120
51000041424311430
622012251041000
72131212663030
oct343542474330
986783672360
1030560385240
1111a625a4830
125b0a740160
132b605005b8
14169ca3c8c0
15bdce1de60
hex71d8a78d8

30560385240 has 512 divisors, whose sum is σ = 134481254400. Its totient is φ = 5976391680.

The previous prime is 30560385227. The next prime is 30560385253. The reversal of 30560385240 is 4258306503.

It is a happy number.

30560385240 is a `hidden beast` number, since 3 + 0 + 5 + 603 + 8 + 5 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (30560385227) and next prime (30560385253).

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

It is a junction number, because it is equal to n+sod(n) for n = 30560385195 and 30560385204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1402912 + ... + 1424528.

It is an arithmetic number, because the mean of its divisors is an integer number (262658700).

Almost surely, 230560385240 is an apocalyptic number.

30560385240 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 30560385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67240627200).

30560385240 is an abundant number, since it is smaller than the sum of its proper divisors (103920869160).

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

30560385240 is a wasteful number, since it uses less digits than its factorization.

30560385240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21672 (or 21662 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30560385240 in words is "thirty billion, five hundred sixty million, three hundred eighty-five thousand, two hundred forty".