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416130037 is a prime number
BaseRepresentation
bin11000110011011…
…010001111110101
31002000000121002121
4120303122033311
51323012130122
6105143035541
713212022051
oct3063321765
91060017077
10416130037
111a3992724
12b743bbb1
136829b3bb
143d3a2c61
15267ecbc7
hex18cda3f5

416130037 has 2 divisors, whose sum is σ = 416130038. Its totient is φ = 416130036.

The previous prime is 416130023. The next prime is 416130059. The reversal of 416130037 is 730031614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365918641 + 50211396 = 19129^2 + 7086^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416130037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416129993 and 416130020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416130017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208065018 + 208065019.

It is an arithmetic number, because the mean of its divisors is an integer number (208065019).

Almost surely, 2416130037 is an apocalyptic number.

It is an amenable number.

416130037 is a deficient number, since it is larger than the sum of its proper divisors (1).

416130037 is an equidigital number, since it uses as much as digits as its factorization.

416130037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 416130037 is about 20399.2655995259. The cubic root of 416130037 is about 746.5800060412.

The spelling of 416130037 in words is "four hundred sixteen million, one hundred thirty thousand, thirty-seven".