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268780097 is a prime number
BaseRepresentation
bin10000000001010…
…100001001000001
3200201202102222102
4100001110021001
51022301430342
642400520145
76442410305
oct2001241101
9621672872
10268780097
111287a0513
1276020055
13438b97a1
14279a7d05
15188e3832
hex10054241

268780097 has 2 divisors, whose sum is σ = 268780098. Its totient is φ = 268780096.

The previous prime is 268780073. The next prime is 268780121. The reversal of 268780097 is 790087862.

It is a balanced prime because it is at equal distance from previous prime (268780073) and next prime (268780121).

It can be written as a sum of positive squares in only one way, i.e., 217385536 + 51394561 = 14744^2 + 7169^2 .

It is a cyclic number.

It is not a de Polignac number, because 268780097 - 222 = 264585793 is a prime.

It is not a weakly prime, because it can be changed into another prime (268780007) 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, 134390048 + 134390049.

It is an arithmetic number, because the mean of its divisors is an integer number (134390049).

Almost surely, 2268780097 is an apocalyptic number.

It is an amenable number.

268780097 is a deficient number, since it is larger than the sum of its proper divisors (1).

268780097 is an equidigital number, since it uses as much as digits as its factorization.

268780097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 268780097 is about 16394.5142349507. The cubic root of 268780097 is about 645.3555294103.

The spelling of 268780097 in words is "two hundred sixty-eight million, seven hundred eighty thousand, ninety-seven".