Search a number
-
+
1004838137 is a prime number
BaseRepresentation
bin111011111001001…
…001110011111001
32121000210001210022
4323321021303321
54024214310022
6243413100225
733620661152
oct7371116371
92530701708
101004838137
11476228846
12240627675
131302423a4
149764a929
155d339c42
hex3be49cf9

1004838137 has 2 divisors, whose sum is σ = 1004838138. Its totient is φ = 1004838136.

The previous prime is 1004838067. The next prime is 1004838217. The reversal of 1004838137 is 7318384001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 984955456 + 19882681 = 31384^2 + 4459^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004838137 - 220 = 1003789561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004838097 and 1004838106.

It is not a weakly prime, because it can be changed into another prime (1004838437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502419068 + 502419069.

It is an arithmetic number, because the mean of its divisors is an integer number (502419069).

Almost surely, 21004838137 is an apocalyptic number.

It is an amenable number.

1004838137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004838137 is an equidigital number, since it uses as much as digits as its factorization.

1004838137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1004838137 is about 31699.1819610538. The cubic root of 1004838137 is about 1001.6101184605.

The spelling of 1004838137 in words is "one billion, four million, eight hundred thirty-eight thousand, one hundred thirty-seven".