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82093014 = 2343131619
BaseRepresentation
bin1001110010010…
…10001111010110
312201110202110000
410321022033112
5132003434024
612051312130
72014531143
oct471121726
9181422400
1082093014
1142380773
12235ab646
1314013c63
14ac8d3ca
157318cc9
hex4e4a3d6

82093014 has 40 divisors (see below), whose sum is σ = 184650840. Its totient is φ = 27260064.

The previous prime is 82093009. The next prime is 82093019. The reversal of 82093014 is 41039028.

It is an interprime number because it is at equal distance from previous prime (82093009) and next prime (82093019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82093019) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49897 + ... + 51515.

It is an arithmetic number, because the mean of its divisors is an integer number (4616271).

Almost surely, 282093014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82093014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92325420).

82093014 is an abundant number, since it is smaller than the sum of its proper divisors (102557826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82093014 is a wasteful number, since it uses less digits than its factorization.

82093014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82093014 is about 9060.5195215286. The cubic root of 82093014 is about 434.6123538230.

The spelling of 82093014 in words is "eighty-two million, ninety-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1619 1878 2817 3238 4857 5634 8451 9714 14571 16902 25353 29142 43713 50706 87426 131139 262278 506747 1013494 1520241 3040482 4560723 9121446 13682169 27364338 41046507 82093014