Search a number
-
+
8265143040 = 283571127953
BaseRepresentation
bin1111011001010010…
…00001001100000000
3210100000022202202220
413230221001030000
5113411334034130
63444050411040
7411550361640
oct75451011400
923300282686
108265143040
113561504330
121727b90a80
13a194582ab
145859a6520
15335921410
hex1eca41300

8265143040 has 288 divisors, whose sum is σ = 32911474176. Its totient is φ = 1717370880.

The previous prime is 8265142987. The next prime is 8265143041. The reversal of 8265143040 is 403415628.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8265142992 and 8265143010.

It is not an unprimeable number, because it can be changed into a prime (8265143041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281704 + ... + 309656.

It is an arithmetic number, because the mean of its divisors is an integer number (114275952).

Almost surely, 28265143040 is an apocalyptic number.

8265143040 is a gapful number since it is divisible by the number (80) 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 8265143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455737088).

8265143040 is an abundant number, since it is smaller than the sum of its proper divisors (24646331136).

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

8265143040 is a wasteful number, since it uses less digits than its factorization.

8265143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27995 (or 27981 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8265143040 is about 90912.8320975648. The cubic root of 8265143040 is about 2021.8555508132.

Adding to 8265143040 its reverse (403415628), we get a palindrome (8668558668).

The spelling of 8265143040 in words is "eight billion, two hundred sixty-five million, one hundred forty-three thousand, forty".