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10035073 = 29536529
BaseRepresentation
bin100110010001…
…111110000001
3200212211112101
4212101332001
510032110243
6555030401
7151203526
oct46217601
920784471
1010035073
115734554
12343b401
132104819
14149314d
15d3354d
hex991f81

10035073 has 8 divisors (see below), whose sum is σ = 10578600. Its totient is φ = 9504768.

The previous prime is 10035071. The next prime is 10035089. The reversal of 10035073 is 37053001.

It can be written as a sum of positive squares in 4 ways, for example, as 744769 + 9290304 = 863^2 + 3048^2 .

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 10035073 - 21 = 10035071 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10035073.

It is not an unprimeable number, because it can be changed into a prime (10035071) 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, 1728 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (1322325).

Almost surely, 210035073 is an apocalyptic number.

It is an amenable number.

10035073 is a deficient number, since it is larger than the sum of its proper divisors (543527).

10035073 is an equidigital number, since it uses as much as digits as its factorization.

10035073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 10035073 is about 3167.8183344378. The cubic root of 10035073 is about 215.6950500682.

Adding to 10035073 its reverse (37053001), we get a palindrome (47088074).

The spelling of 10035073 in words is "ten million, thirty-five thousand, seventy-three".

Divisors: 1 29 53 1537 6529 189341 346037 10035073