Search a number
-
+
6532475040 = 2534571329191
BaseRepresentation
bin1100001010101110…
…11010100010100000
3121212021000010010000
412011113122202200
5101334303200130
63000113340000
7320611056510
oct60527324240
917767003100
106532475040
112852459203
121323867600
138014b1560
1445d819840
15283768260
hex1855da8a0

6532475040 has 960 divisors, whose sum is σ = 29506498560. Its totient is φ = 1323786240.

The previous prime is 6532474999. The next prime is 6532475041. The reversal of 6532475040 is 405742356.

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 = 6532474986 and 6532475004.

It is not an unprimeable number, because it can be changed into a prime (6532475041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34201345 + ... + 34201535.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 26532475040 is an apocalyptic number.

6532475040 is a gapful number since it is divisible by the number (60) 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 6532475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

6532475040 is an abundant number, since it is smaller than the sum of its proper divisors (22974023520).

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

6532475040 is a wasteful number, since it uses less digits than its factorization.

6532475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6532475040 is about 80823.7281990877. The cubic root of 6532475040 is about 1869.3584538011.

The spelling of 6532475040 in words is "six billion, five hundred thirty-two million, four hundred seventy-five thousand, forty".