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10387017 = 3217292341
BaseRepresentation
bin100111100111…
…111001001001
3201112201022100
4213213321021
510124341032
61010344013
7154200564
oct47477111
921481270
1010387017
115954a13
12358b009
1321c8a84
1415454db
15da297c
hex9e7e49

10387017 has 24 divisors (see below), whose sum is σ = 16440840. Its totient is φ = 6289920.

The previous prime is 10387001. The next prime is 10387031. The reversal of 10387017 is 71078301.

10387017 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 3606201 + 6780816 = 1899^2 + 2604^2 .

It is not a de Polignac number, because 10387017 - 24 = 10387001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10387057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3267 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (685035).

Almost surely, 210387017 is an apocalyptic number.

10387017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10387017 is a deficient number, since it is larger than the sum of its proper divisors (6053823).

10387017 is a wasteful number, since it uses less digits than its factorization.

10387017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 10387017 is about 3222.8895420104. The cubic root of 10387017 is about 218.1877083164.

The spelling of 10387017 in words is "ten million, three hundred eighty-seven thousand, seventeen".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 2341 4437 7023 21069 39797 67889 119391 203667 358173 611001 1154113 3462339 10387017