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268400689 is a prime number
BaseRepresentation
bin11111111111101…
…11100000110001
3200201001011112021
433333313200301
51022202310224
642344431441
76436240204
oct1777674061
9621034467
10268400689
11128561457
1275a78581
13437b5b9b
142790993b
151886b1e4
hexfff7831

268400689 has 2 divisors, whose sum is σ = 268400690. Its totient is φ = 268400688.

The previous prime is 268400687. The next prime is 268400723. The reversal of 268400689 is 986004862.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244390689 + 24010000 = 15633^2 + 4900^2 .

It is a cyclic number.

It is not a de Polignac number, because 268400689 - 21 = 268400687 is a prime.

Together with 268400687, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (268400687) 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, 134200344 + 134200345.

It is an arithmetic number, because the mean of its divisors is an integer number (134200345).

Almost surely, 2268400689 is an apocalyptic number.

It is an amenable number.

268400689 is a deficient number, since it is larger than the sum of its proper divisors (1).

268400689 is an equidigital number, since it uses as much as digits as its factorization.

268400689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 268400689 is about 16382.9389610045. The cubic root of 268400689 is about 645.0517267171.

The spelling of 268400689 in words is "two hundred sixty-eight million, four hundred thousand, six hundred eighty-nine".