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10472017 = 17312641
BaseRepresentation
bin100111111100…
…101001010001
3201201000220111
4213330221101
510140101032
61012241321
7155003443
oct47745121
921630814
1010472017
115a02866
123610241
13222867a
141568493
15dbcc47
hex9fca51

10472017 has 12 divisors (see below), whose sum is σ = 11475108. Its totient is φ = 9523200.

The previous prime is 10471997. The next prime is 10472047. The reversal of 10472017 is 71027401.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 1615441 = 2976^2 + 1271^2 .

It is a de Polignac number, because none of the positive numbers 2k-10472017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10472047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16017 + ... + 16657.

It is an arithmetic number, because the mean of its divisors is an integer number (956259).

Almost surely, 210472017 is an apocalyptic number.

10472017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10472017 is a deficient number, since it is larger than the sum of its proper divisors (1003091).

10472017 is an equidigital number, since it uses as much as digits as its factorization.

10472017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 10472017 is about 3236.0495978894. The cubic root of 10472017 is about 218.7812568125.

Adding to 10472017 its reverse (71027401), we get a palindrome (81499418).

The spelling of 10472017 in words is "ten million, four hundred seventy-two thousand, seventeen".

Divisors: 1 17 31 527 641 961 10897 16337 19871 337807 616001 10472017