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81766341 = 352941283
BaseRepresentation
bin1001101111110…
…10011111000101
312200212011100000
410313322133011
5131413010331
612040311513
72012000556
oct467723705
9180764300
1081766341
1142178298
1223472599
1313c2b367
14ac0632d
1572a20e6
hex4dfa7c5

81766341 has 48 divisors (see below), whose sum is σ = 130253760. Its totient is φ = 51166080.

The previous prime is 81766327. The next prime is 81766381. The reversal of 81766341 is 14366718.

81766341 is a `hidden beast` number, since 8 + 17 + 6 + 634 + 1 = 666.

It is not a de Polignac number, because 81766341 - 27 = 81766213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81766296 and 81766305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81766301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288786 + ... + 289068.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 281766341 is an apocalyptic number.

81766341 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

81766341 is a deficient number, since it is larger than the sum of its proper divisors (48487419).

81766341 is a wasteful number, since it uses less digits than its factorization.

81766341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 81766341 is about 9042.4742742238. The cubic root of 81766341 is about 434.0351026702.

The spelling of 81766341 in words is "eighty-one million, seven hundred sixty-six thousand, three hundred forty-one".

Divisors: 1 3 9 27 29 41 81 87 123 243 261 283 369 783 849 1107 1189 2349 2547 3321 3567 7047 7641 8207 9963 10701 11603 22923 24621 32103 34809 68769 73863 96309 104427 221589 288927 313281 336487 664767 939843 1009461 1994301 2819529 3028383 9085149 27255447 81766341