Search a number
-
+
9275040000 = 28335419113
BaseRepresentation
bin10001010001101010…
…11110000100000000
3212221101121211222000
420220311132010000
5122443402240000
64132204144000
7445562352642
oct105065360400
925841554860
109275040000
113a2a577916
12196a238000
13b4a74c165
1463db6c892
1539440a000
hex228d5e100

9275040000 has 720 divisors, whose sum is σ = 36397099200. Its totient is φ = 2322432000.

The previous prime is 9275039999. The next prime is 9275040031. The reversal of 9275040000 is 405729.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82079944 + ... + 82080056.

Almost surely, 29275040000 is an apocalyptic number.

9275040000 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 9275040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198549600).

9275040000 is an abundant number, since it is smaller than the sum of its proper divisors (27122059200).

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

9275040000 is a wasteful number, since it uses less digits than its factorization.

9275040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9275040000 is about 96307.0090907199. The cubic root of 9275040000 is about 2101.0606886565.

Adding to 9275040000 its reverse (405729), we get a palindrome (9275445729).

The spelling of 9275040000 in words is "nine billion, two hundred seventy-five million, forty thousand".