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10116834 = 2372132647
BaseRepresentation
bin100110100101…
…111011100010
3201000222200120
4212211323202
510042214314
61000501110
7151664100
oct46457342
921028616
1010116834
11578aa22
12347a796
132132ac0
1414b4c70
15d4c8a9
hex9a5ee2

10116834 has 48 divisors (see below), whose sum is σ = 25357248. Its totient is φ = 2667168.

The previous prime is 10116833. The next prime is 10116857. The reversal of 10116834 is 43861101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116833) 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 23 ways as a sum of consecutive naturals, for example, 2499 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (528276).

Almost surely, 210116834 is an apocalyptic number.

10116834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678624).

10116834 is an abundant number, since it is smaller than the sum of its proper divisors (15240414).

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

10116834 is a wasteful number, since it uses less digits than its factorization.

10116834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10116834 is about 3180.6970934058. The cubic root of 10116834 is about 216.2792598540.

Adding to 10116834 its reverse (43861101), we get a palindrome (53977935).

The spelling of 10116834 in words is "ten million, one hundred sixteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 2647 3822 5294 7941 15882 18529 34411 37058 55587 68822 103233 111174 129703 206466 240877 259406 389109 481754 722631 778218 1445262 1686139 3372278 5058417 10116834