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10268289 = 34177457
BaseRepresentation
bin100111001010…
…111010000001
3201022200110000
4213022322001
510112041124
61004030213
7153164463
oct47127201
921280400
1010268289
115883799
123532369
132186a15
141514133
15d7c6c9
hex9cae81

10268289 has 20 divisors (see below), whose sum is σ = 16243524. Its totient is φ = 6441984.

The previous prime is 10268261. The next prime is 10268299. The reversal of 10268289 is 98286201.

It can be written as a sum of positive squares in 2 ways, for example, as 5602689 + 4665600 = 2367^2 + 2160^2 .

It is not a de Polignac number, because 10268289 - 25 = 10268257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10268239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2352 + ... + 5105.

Almost surely, 210268289 is an apocalyptic number.

It is an amenable number.

10268289 is a deficient number, since it is larger than the sum of its proper divisors (5975235).

10268289 is an equidigital number, since it uses as much as digits as its factorization.

10268289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10268289 is about 3204.4171076812. The cubic root of 10268289 is about 217.3531946315.

The spelling of 10268289 in words is "ten million, two hundred sixty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 153 459 1377 7457 22371 67113 126769 201339 380307 604017 1140921 3422763 10268289