Search a number
-
+
2756993 is a prime number
BaseRepresentation
bin1010100001000110000001
312012001212212
422201012001
51201210433
6135031505
732301611
oct12410601
95161785
102756993
111613408
12b0b595
13756b75
1451aa41
15396d48
hex2a1181

2756993 has 2 divisors, whose sum is σ = 2756994. Its totient is φ = 2756992.

The previous prime is 2756989. The next prime is 2757019. The reversal of 2756993 is 3996572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2729104 + 27889 = 1652^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 2756993 - 22 = 2756989 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 27 + 77 + 5 + 67 + 9 + 95 + 313 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2756993.

It is not a weakly prime, because it can be changed into another prime (2756903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1378496 + 1378497.

It is an arithmetic number, because the mean of its divisors is an integer number (1378497).

22756993 is an apocalyptic number.

It is an amenable number.

2756993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2756993 is an equidigital number, since it uses as much as digits as its factorization.

2756993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 102060, while the sum is 41.

The square root of 2756993 is about 1660.4195253008. The cubic root of 2756993 is about 140.2206215347.

The spelling of 2756993 in words is "two million, seven hundred fifty-six thousand, nine hundred ninety-three".