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19906641 = 34534637
BaseRepresentation
bin100101111110…
…0000001010001
31101110100210000
41023330001101
520044003031
61550400213
7331126566
oct113740121
941410700
1019906641
1110267177
126800069
13417caa1
14290286d
151b333e6
hex12fc051

19906641 has 20 divisors (see below), whose sum is σ = 30304692. Its totient is φ = 13017888.

The previous prime is 19906639. The next prime is 19906651. The reversal of 19906641 is 14660991.

19906641 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 6 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9641025 + 10265616 = 3105^2 + 3204^2 .

It is not a de Polignac number, because 19906641 - 21 = 19906639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19906596 and 19906605.

It is not an unprimeable number, because it can be changed into a prime (19906651) 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 19 ways as a sum of consecutive naturals, for example, 1975 + ... + 6611.

Almost surely, 219906641 is an apocalyptic number.

It is an amenable number.

19906641 is a deficient number, since it is larger than the sum of its proper divisors (10398051).

19906641 is an equidigital number, since it uses as much as digits as its factorization.

19906641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19906641 is about 4461.6858921264. The cubic root of 19906641 is about 271.0187439094.

The spelling of 19906641 in words is "nineteen million, nine hundred six thousand, six hundred forty-one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 4637 13911 41733 125199 245761 375597 737283 2211849 6635547 19906641