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10267117 = 72209533
BaseRepresentation
bin100111001010…
…100111101101
3201022121211121
4213022213231
510112021432
61004020541
7153161200
oct47124755
921277747
1010267117
115882923
123531751
132186323
141513937
15d7c197
hex9ca9ed

10267117 has 6 divisors (see below), whose sum is σ = 11943438. Its totient is φ = 8800344.

The previous prime is 10267109. The next prime is 10267139. The reversal of 10267117 is 71176201.

It can be written as a sum of positive squares in only one way, i.e., 9400356 + 866761 = 3066^2 + 931^2 .

It is not a de Polignac number, because 10267117 - 23 = 10267109 is a prime.

It is a super-4 number, since 4×102671174 (a number of 29 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10267091 and 10267100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104718 + ... + 104815.

It is an arithmetic number, because the mean of its divisors is an integer number (1990573).

Almost surely, 210267117 is an apocalyptic number.

It is an amenable number.

10267117 is a deficient number, since it is larger than the sum of its proper divisors (1676321).

10267117 is an equidigital number, since it uses as much as digits as its factorization.

10267117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209547 (or 209540 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 10267117 is about 3204.2342298902. The cubic root of 10267117 is about 217.3449249111.

The spelling of 10267117 in words is "ten million, two hundred sixty-seven thousand, one hundred seventeen".

Divisors: 1 7 49 209533 1466731 10267117