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16961631 = 317834007
BaseRepresentation
bin100000010110…
…1000001011111
31011220201222120
41000231001133
513320233011
61403314023
7264112551
oct100550137
934821876
1016961631
119635585
12581b913
13368b48b
1423774d1
151750a06
hex102d05f

16961631 has 16 divisors (see below), whose sum is σ = 24240384. Its totient is φ = 10511744.

The previous prime is 16961627. The next prime is 16961647. The reversal of 16961631 is 13616961.

It is a cyclic number.

It is not a de Polignac number, because 16961631 - 22 = 16961627 is a prime.

It is a super-2 number, since 2×169616312 = 575393852360322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) 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 = 16961592 and 16961601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961611) 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 15 ways as a sum of consecutive naturals, for example, 2230 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (1515024).

Almost surely, 216961631 is an apocalyptic number.

16961631 is a deficient number, since it is larger than the sum of its proper divisors (7278753).

16961631 is a wasteful number, since it uses less digits than its factorization.

16961631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110.

The product of its digits is 5832, while the sum is 33.

The square root of 16961631 is about 4118.4500725394. The cubic root of 16961631 is about 256.9345672621.

The spelling of 16961631 in words is "sixteen million, nine hundred sixty-one thousand, six hundred thirty-one".

Divisors: 1 3 17 51 83 249 1411 4007 4233 12021 68119 204357 332581 997743 5653877 16961631