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81966141 = 3313722159
BaseRepresentation
bin1001110001010…
…11010000111101
312201020022102000
410320223100331
5131440404031
612044452513
72013462225
oct470532075
9181208360
1081966141
11422a4414
122354a139
1313c9b29a
14ac59085
1572e13e6
hex4e2b43d

81966141 has 16 divisors (see below), whose sum is σ = 122323200. Its totient is φ = 54242784.

The previous prime is 81966121. The next prime is 81966161. The reversal of 81966141 is 14166918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81966121) and next prime (81966161).

It is not a de Polignac number, because 81966141 - 25 = 81966109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81966096 and 81966105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81966121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7381 + ... + 14778.

It is an arithmetic number, because the mean of its divisors is an integer number (7645200).

Almost surely, 281966141 is an apocalyptic number.

It is an amenable number.

81966141 is a deficient number, since it is larger than the sum of its proper divisors (40357059).

81966141 is a wasteful number, since it uses less digits than its factorization.

81966141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22299 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 81966141 is about 9053.5153945857. The cubic root of 81966141 is about 434.3883436786.

The spelling of 81966141 in words is "eighty-one million, nine hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 27 137 411 1233 3699 22159 66477 199431 598293 3035783 9107349 27322047 81966141