Search a number
-
+
10616133 = 3112371197
BaseRepresentation
bin101000011111…
…110101000101
3201222100121010
4220133311011
510204204013
61015312433
7156143553
oct50376505
921870533
1010616133
115aa1070
12367b719
132279148
1415a4bd3
15dea7c3
hexa1fd45

10616133 has 32 divisors (see below), whose sum is σ = 16422912. Its totient is φ = 6036800.

The previous prime is 10616129. The next prime is 10616147. The reversal of 10616133 is 33161601.

10616133 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 10616133 - 22 = 10616129 is a prime.

It is a super-2 number, since 2×106161332 = 225404559747378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616153) 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 31 ways as a sum of consecutive naturals, for example, 53791 + ... + 53987.

It is an arithmetic number, because the mean of its divisors is an integer number (513216).

Almost surely, 210616133 is an apocalyptic number.

It is an amenable number.

10616133 is a deficient number, since it is larger than the sum of its proper divisors (5806779).

10616133 is a wasteful number, since it uses less digits than its factorization.

10616133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10616133 is about 3258.2407829993. The cubic root of 10616133 is about 219.7803109976.

Adding to 10616133 its reverse (33161601), we get a palindrome (43777734).

The spelling of 10616133 in words is "ten million, six hundred sixteen thousand, one hundred thirty-three".

Divisors: 1 3 11 23 33 69 71 197 213 253 591 759 781 1633 2167 2343 4531 4899 6501 13593 13987 17963 41961 49841 53889 149523 153857 321701 461571 965103 3538711 10616133