Search a number
-
+
507515140 = 225112209717
BaseRepresentation
bin11110010000000…
…001000100000100
31022100222102220001
4132100001010010
52014410441030
6122205451044
715401543656
oct3620010404
91270872801
10507515140
1124052a700
12121b70a84
13811b6922
144b5906d6
152e84ecca
hex1e401104

507515140 has 36 divisors (see below), whose sum is σ = 1171484748. Its totient is φ = 184550080.

The previous prime is 507515117. The next prime is 507515147. The reversal of 507515140 is 41515705.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 326235844 = 13464^2 + 18062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 507515099 and 507515108.

It is not an unprimeable number, because it can be changed into a prime (507515147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102439 + ... + 107278.

It is an arithmetic number, because the mean of its divisors is an integer number (32541243).

Almost surely, 2507515140 is an apocalyptic number.

It is an amenable number.

507515140 is an abundant number, since it is smaller than the sum of its proper divisors (663969608).

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

507515140 is a wasteful number, since it uses less digits than its factorization.

507515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209748 (or 209735 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 507515140 is about 22528.0966794800. The cubic root of 507515140 is about 797.6572817021.

The spelling of 507515140 in words is "five hundred seven million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 209717 419434 838868 1048585 2097170 2306887 4194340 4613774 9227548 11534435 23068870 25375757 46137740 50751514 101503028 126878785 253757570 507515140