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9530015040 = 26335713172331
BaseRepresentation
bin10001110000000100…
…00111110101000000
3220121011101220222000
420320002013311000
5124004140440130
64213353144000
7455106535260
oct107002076500
926534356860
109530015040
114050499397
121a1b6bb000
13b8b514170
146659817a0
153ab9c3260
hex238087d40

9530015040 has 1792 divisors, whose sum is σ = 47191818240. Its totient is φ = 1751777280.

The previous prime is 9530014999. The next prime is 9530015059. The reversal of 9530015040 is 405100359.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9530014995 and 9530015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 307419825 + ... + 307419855.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 29530015040 is an apocalyptic number.

9530015040 is a gapful number since it is divisible by the number (90) 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 9530015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595909120).

9530015040 is an abundant number, since it is smaller than the sum of its proper divisors (37661803200).

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

9530015040 is a wasteful number, since it uses less digits than its factorization.

9530015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 9530015040 is about 97621.7959269343. The cubic root of 9530015040 is about 2120.1399456685.

Adding to 9530015040 its reverse (405100359), we get a palindrome (9935115399).

The spelling of 9530015040 in words is "nine billion, five hundred thirty million, fifteen thousand, forty".