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10526009 = 131747629
BaseRepresentation
bin101000001001…
…110100111001
3201210202222012
4220021310321
510143313014
61013335305
7155320034
oct50116471
921722865
1010526009
115a3a38a
123637535
132247110
14158001b
15dcdc3e
hexa09d39

10526009 has 8 divisors (see below), whose sum is σ = 12002760. Its totient is φ = 9144576.

The previous prime is 10525997. The next prime is 10526023. The reversal of 10526009 is 90062501.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 9765625 = 872^2 + 3125^2 .

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 10526009 - 24 = 10525993 is a prime.

It is a super-2 number, since 2×105260092 = 221593730936162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10526069) 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, 23594 + ... + 24035.

It is an arithmetic number, because the mean of its divisors is an integer number (1500345).

Almost surely, 210526009 is an apocalyptic number.

It is an amenable number.

10526009 is a deficient number, since it is larger than the sum of its proper divisors (1476751).

10526009 is a wasteful number, since it uses less digits than its factorization.

10526009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47659.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10526009 is about 3244.3811428376. The cubic root of 10526009 is about 219.1566125366.

The spelling of 10526009 in words is "ten million, five hundred twenty-six thousand, nine".

Divisors: 1 13 17 221 47629 619177 809693 10526009