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2730000257 is a prime number
BaseRepresentation
bin1010001010111000…
…0111111110000001
321001020222101022122
42202232013332001
521042340002012
61130521214025
7124436422265
oct24256077601
97036871278
102730000257
111181017666
12642331315
1334678b88a
141bc8020a5
1510ea0de72
hexa2b87f81

2730000257 has 2 divisors, whose sum is σ = 2730000258. Its totient is φ = 2730000256.

The previous prime is 2730000253. The next prime is 2730000281. The reversal of 2730000257 is 7520000372.

2730000257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1839037456 + 890962801 = 42884^2 + 29849^2 .

It is a cyclic number.

It is not a de Polignac number, because 2730000257 - 22 = 2730000253 is a prime.

It is not a weakly prime, because it can be changed into another prime (2730000253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365000128 + 1365000129.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000129).

Almost surely, 22730000257 is an apocalyptic number.

It is an amenable number.

2730000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2730000257 is an equidigital number, since it uses as much as digits as its factorization.

2730000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 2730000257 is about 52249.4043698108. The cubic root of 2730000257 is about 1397.6150307205.

The spelling of 2730000257 in words is "two billion, seven hundred thirty million, two hundred fifty-seven", and thus it is an aban number.