Search a number
-
+
415135764 = 223211531549
BaseRepresentation
bin11000101111100…
…111100000010100
31001221011002012200
4120233213200110
51322233321024
6105105444500
713200411231
oct3057474024
91057132180
10415135764
111a337370a
12b7040730
1368010984
143d1c4788
15266a32c9
hex18be7814

415135764 has 18 divisors (see below), whose sum is σ = 1049371050. Its totient is φ = 138378576.

The previous prime is 415135759. The next prime is 415135811. The reversal of 415135764 is 467531514.

It can be written as a sum of positive squares in only one way, i.e., 334890000 + 80245764 = 18300^2 + 8958^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11531549 = 415135764 / (4 + 1 + 5 + 1 + 3 + 5 + 7 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5765739 + ... + 5765810.

Almost surely, 2415135764 is an apocalyptic number.

It is an amenable number.

415135764 is an abundant number, since it is smaller than the sum of its proper divisors (634235286).

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

415135764 is a wasteful number, since it uses less digits than its factorization.

415135764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531559 (or 11531554 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 415135764 is about 20374.8807113072. The cubic root of 415135764 is about 745.9849225606.

The spelling of 415135764 in words is "four hundred fifteen million, one hundred thirty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11531549 23063098 34594647 46126196 69189294 103783941 138378588 207567882 415135764