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10526321 = 131018017
BaseRepresentation
bin101000001001…
…111001110001
3201210210101202
4220021321301
510143320241
61013340545
7155320661
oct50117161
921723352
1010526321
115a3a643
123637755
1322472c0
1415801a1
15dcdd9b
hexa09e71

10526321 has 8 divisors (see below), whose sum is σ = 11449704. Its totient is φ = 9619200.

The previous prime is 10526317. The next prime is 10526353. The reversal of 10526321 is 12362501.

10526321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2686321 + 7840000 = 1639^2 + 2800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10526321 - 22 = 10526317 is a prime.

It is a super-2 number, since 2×105263212 = 221606867590082, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10526293 and 10526302.

It is not an unprimeable number, because it can be changed into a prime (10526371) 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 7 ways as a sum of consecutive naturals, for example, 2696 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (1431213).

Almost surely, 210526321 is an apocalyptic number.

It is an amenable number.

10526321 is a deficient number, since it is larger than the sum of its proper divisors (923383).

10526321 is a wasteful number, since it uses less digits than its factorization.

10526321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10526321 is about 3244.4292256112. The cubic root of 10526321 is about 219.1587778456.

Adding to 10526321 its reverse (12362501), we get a palindrome (22888822).

The spelling of 10526321 in words is "ten million, five hundred twenty-six thousand, three hundred twenty-one".

Divisors: 1 13 101 1313 8017 104221 809717 10526321