Search a number
-
+
1072752761 is a prime number
BaseRepresentation
bin111111111100001…
…110100001111001
32202202120111010202
4333330032201321
54144111042021
6254240451545
735404151033
oct7774164171
92682514122
101072752761
115005a5033
1225b319bb5
13141330962
14a2688c53
15642a2a0b
hex3ff0e879

1072752761 has 2 divisors, whose sum is σ = 1072752762. Its totient is φ = 1072752760.

The previous prime is 1072752757. The next prime is 1072752797. The reversal of 1072752761 is 1672572701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935136400 + 137616361 = 30580^2 + 11731^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072752761 - 22 = 1072752757 is a prime.

It is not a weakly prime, because it can be changed into another prime (1072742761) 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, 536376380 + 536376381.

It is an arithmetic number, because the mean of its divisors is an integer number (536376381).

Almost surely, 21072752761 is an apocalyptic number.

It is an amenable number.

1072752761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072752761 is an equidigital number, since it uses as much as digits as its factorization.

1072752761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 1072752761 is about 32752.9046192853. The cubic root of 1072752761 is about 1023.6854887508.

The spelling of 1072752761 in words is "one billion, seventy-two million, seven hundred fifty-two thousand, seven hundred sixty-one".