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10379838 = 237534663
BaseRepresentation
bin100111100110…
…001000111110
3201112100110110
4213212020332
510124123323
61010250450
7154140630
oct47461076
921470413
1010379838
11594a587
123586a26
1321c5721
141542a50
15da0793
hex9e623e

10379838 has 32 divisors (see below), whose sum is σ = 24178176. Its totient is φ = 2909088.

The previous prime is 10379777. The next prime is 10379839. The reversal of 10379838 is 83897301.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 10379796 and 10379805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379839) 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 15 ways as a sum of consecutive naturals, for example, 106 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (755568).

Almost surely, 210379838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10379838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089088).

10379838 is an abundant number, since it is smaller than the sum of its proper divisors (13798338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10379838 is a wasteful number, since it uses less digits than its factorization.

10379838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 10379838 is about 3221.7755973997. The cubic root of 10379838 is about 218.1374298273.

The spelling of 10379838 in words is "ten million, three hundred seventy-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 4663 9326 13989 27978 32641 65282 97923 195846 247139 494278 741417 1482834 1729973 3459946 5189919 10379838