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6530207040 = 2637573143
BaseRepresentation
bin1100001010011101…
…10000110101000000
3121212002201220000000
412011032300311000
5101333213111130
62555553000000
7320552562330
oct60516606500
917762656000
106530207040
11285114a225
121322b53000
13800b99146
1445d3c90c0
1528346b260
hex1853b0d40

6530207040 has 896 divisors, whose sum is σ = 28152791040. Its totient is φ = 1410877440.

The previous prime is 6530207029. The next prime is 6530207237. The reversal of 6530207040 is 407020356.

It is a happy number.

6530207040 is a `hidden beast` number, since 6 + 530 + 20 + 70 + 40 = 666.

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 = 6530206995 and 6530207013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151865259 + ... + 151865301.

Almost surely, 26530207040 is an apocalyptic number.

6530207040 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 6530207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076395520).

6530207040 is an abundant number, since it is smaller than the sum of its proper divisors (21622584000).

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

6530207040 is an equidigital number, since it uses as much as digits as its factorization.

6530207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6530207040 is about 80809.6964478892. The cubic root of 6530207040 is about 1869.1420888603.

Adding to 6530207040 its reverse (407020356), we get a palindrome (6937227396).

The spelling of 6530207040 in words is "six billion, five hundred thirty million, two hundred seven thousand, forty".