Search a number
-
+
415000580 = 225177711677
BaseRepresentation
bin11000101111000…
…110100000000100
31001220220012202212
4120233012200010
51322220004310
6105102522552
713166306141
oct3057064004
91056805685
10415000580
111a3291095
12b6b96458
1367c94297
143d18b3c8
1526678205
hex18bc6804

415000580 has 24 divisors (see below), whose sum is σ = 872066328. Its totient is φ = 165892608.

The previous prime is 415000561. The next prime is 415000589. The reversal of 415000580 is 85000514.

It can be written as a sum of positive squares in 4 ways, for example, as 103266244 + 311734336 = 10162^2 + 17656^2 .

It is not an unprimeable number, because it can be changed into a prime (415000589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29702 + ... + 41378.

It is an arithmetic number, because the mean of its divisors is an integer number (36336097).

Almost surely, 2415000580 is an apocalyptic number.

It is an amenable number.

415000580 is an abundant number, since it is smaller than the sum of its proper divisors (457065748).

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

415000580 is a wasteful number, since it uses less digits than its factorization.

415000580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 415000580 is about 20371.5630229985. The cubic root of 415000580 is about 745.9039400782.

The spelling of 415000580 in words is "four hundred fifteen million, five hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 1777 3554 7108 8885 11677 17770 23354 35540 46708 58385 116770 233540 20750029 41500058 83000116 103750145 207500290 415000580