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10042713 = 321115857
BaseRepresentation
bin100110010011…
…110101011001
3200220020000100
4212103311121
510032331323
6555130013
7151235022
oct46236531
920806010
1010042713
11573a26a
123443909
132108145
141495c49
15d35943
hex993d59

10042713 has 6 divisors (see below), whose sum is σ = 14506154. Its totient is φ = 6695136.

The previous prime is 10042709. The next prime is 10042723. The reversal of 10042713 is 31724001.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 233289 = 3132^2 + 483^2 .

It is not a de Polignac number, because 10042713 - 22 = 10042709 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042723) 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 5 ways as a sum of consecutive naturals, for example, 557920 + ... + 557937.

Almost surely, 210042713 is an apocalyptic number.

It is an amenable number.

10042713 is a deficient number, since it is larger than the sum of its proper divisors (4463441).

10042713 is a wasteful number, since it uses less digits than its factorization.

10042713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115863 (or 1115860 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10042713 is about 3169.0239822381. The cubic root of 10042713 is about 215.7497745384.

Adding to 10042713 its reverse (31724001), we get a palindrome (41766714).

The spelling of 10042713 in words is "ten million, forty-two thousand, seven hundred thirteen".

Divisors: 1 3 9 1115857 3347571 10042713