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20681991 = 32112331293
BaseRepresentation
bin100111011100…
…1010100000111
31102220202100200
41032321110013
520243310431
62015141543
7340536231
oct116712407
942822320
1020681991
1110746760
126b148b3
134391985
142a65251
151c37ee6
hex13b9507

20681991 has 48 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 11563200.

The previous prime is 20681957. The next prime is 20681993. The reversal of 20681991 is 19918602.

It is not a de Polignac number, because 20681991 - 210 = 20680967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20681993) 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 47 ways as a sum of consecutive naturals, for example, 70441 + ... + 70733.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 220681991 is an apocalyptic number.

20681991 is a deficient number, since it is larger than the sum of its proper divisors (14541561).

20681991 is a wasteful number, since it uses less digits than its factorization.

20681991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 20681991 is about 4547.7457052918. The cubic root of 20681991 is about 274.4926889470.

The spelling of 20681991 in words is "twenty million, six hundred eighty-one thousand, nine hundred ninety-one".

Divisors: 1 3 9 11 23 31 33 69 93 99 207 253 279 293 341 713 759 879 1023 2139 2277 2637 3069 3223 6417 6739 7843 9083 9669 20217 23529 27249 29007 60651 70587 74129 81747 99913 208909 222387 299739 626727 667161 899217 1880181 2297999 6893997 20681991