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10479689 = 112257337
BaseRepresentation
bin100111111110…
…100001001001
3201201102102122
4213332201021
510140322224
61012341025
7155035013
oct47764111
921642378
1010479689
115a08600
123614775
13222bccc
14156b1b3
15dc015e
hex9fe849

10479689 has 12 divisors (see below), whose sum is σ = 11598132. Its totient is φ = 9461760.

The previous prime is 10479673. The next prime is 10479691. The reversal of 10479689 is 98697401.

It can be written as a sum of positive squares in 2 ways, for example, as 7382089 + 3097600 = 2717^2 + 1760^2 .

It is not a de Polignac number, because 10479689 - 24 = 10479673 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10479619) 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, 30929 + ... + 31265.

It is an arithmetic number, because the mean of its divisors is an integer number (966511).

Almost surely, 210479689 is an apocalyptic number.

It is an amenable number.

10479689 is a deficient number, since it is larger than the sum of its proper divisors (1118443).

10479689 is a wasteful number, since it uses less digits than its factorization.

10479689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 10479689 is about 3237.2347767809. The cubic root of 10479689 is about 218.8346715485.

The spelling of 10479689 in words is "ten million, four hundred seventy-nine thousand, six hundred eighty-nine".

Divisors: 1 11 121 257 337 2827 3707 31097 40777 86609 952699 10479689