Search a number
-
+
1007873149 is a prime number
BaseRepresentation
bin111100000100101…
…110110001111101
32121020111021001011
4330010232301331
54031003420044
6244002115221
733655531453
oct7404566175
92536437034
101007873149
11477a11018
1224164bb11
13130a6595a
1497bda9d3
155d739134
hex3c12ec7d

1007873149 has 2 divisors, whose sum is σ = 1007873150. Its totient is φ = 1007873148.

The previous prime is 1007873137. The next prime is 1007873159. The reversal of 1007873149 is 9413787001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857025625 + 150847524 = 29275^2 + 12282^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007873149 - 25 = 1007873117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007873159) 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, 503936574 + 503936575.

It is an arithmetic number, because the mean of its divisors is an integer number (503936575).

Almost surely, 21007873149 is an apocalyptic number.

It is an amenable number.

1007873149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007873149 is an equidigital number, since it uses as much as digits as its factorization.

1007873149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 1007873149 is about 31747.0179544473. The cubic root of 1007873149 is about 1002.6175255819.

The spelling of 1007873149 in words is "one billion, seven million, eight hundred seventy-three thousand, one hundred forty-nine".