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10442115 = 345192359
BaseRepresentation
bin100111110101…
…010110000011
3201122111220000
4213311112003
510133121430
61011451043
7154520325
oct47652603
921574800
1010442115
115992352
1235b6a83
132217b88
14155b615
15db3e60
hex9f5583

10442115 has 80 divisors (see below), whose sum is σ = 20908800. Its totient is φ = 4961088.

The previous prime is 10442083. The next prime is 10442119. The reversal of 10442115 is 51124401.

10442115 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10442115 - 25 = 10442083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442119) 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 79 ways as a sum of consecutive naturals, for example, 176956 + ... + 177014.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 210442115 is an apocalyptic number.

10442115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10442115 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10442115 is a wasteful number, since it uses less digits than its factorization.

10442115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10442115 is about 3231.4261557399. The cubic root of 10442115 is about 218.5728208842.

Adding to 10442115 its reverse (51124401), we get a palindrome (61566516).

The spelling of 10442115 in words is "ten million, four hundred forty-two thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 19 23 27 45 57 59 69 81 95 115 135 171 177 207 285 295 345 405 437 513 531 621 855 885 1035 1121 1311 1357 1539 1593 1863 2185 2565 2655 3105 3363 3933 4071 4779 5605 6555 6785 7695 7965 9315 10089 11799 12213 16815 19665 20355 23895 25783 30267 35397 36639 50445 58995 61065 77349 90801 109917 128915 151335 176985 183195 232047 386745 454005 549585 696141 1160235 2088423 3480705 10442115