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10034713 = 13259377
BaseRepresentation
bin100110010001…
…111000011001
3200212211001001
4212101320121
510032102323
6555025001
7151202503
oct46217031
920784031
1010034713
115734257
12343b161
132104600
141492d73
15d333ad
hex991e19

10034713 has 6 divisors (see below), whose sum is σ = 10866174. Its totient is φ = 9262656.

The previous prime is 10034711. The next prime is 10034737. The reversal of 10034713 is 31743001.

It can be written as a sum of positive squares in 3 ways, for example, as 597529 + 9437184 = 773^2 + 3072^2 .

It is not a de Polignac number, because 10034713 - 21 = 10034711 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10034711) 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 5 ways as a sum of consecutive naturals, for example, 29520 + ... + 29857.

It is an arithmetic number, because the mean of its divisors is an integer number (1811029).

Almost surely, 210034713 is an apocalyptic number.

10034713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10034713 is a deficient number, since it is larger than the sum of its proper divisors (831461).

10034713 is an equidigital number, since it uses as much as digits as its factorization.

10034713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59403 (or 59390 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 10034713 is about 3167.7615124880. The cubic root of 10034713 is about 215.6924707431.

Adding to 10034713 its reverse (31743001), we get a palindrome (41777714).

The spelling of 10034713 in words is "ten million, thirty-four thousand, seven hundred thirteen".

Divisors: 1 13 169 59377 771901 10034713