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68237 = 1329181
BaseRepresentation
bin10000101010001101
310110121022
4100222031
54140422
61243525
7402641
oct205215
9113538
1068237
11472a4
12335a5
13250a0
141ac21
1515342
hex10a8d

68237 has 8 divisors (see below), whose sum is σ = 76440. Its totient is φ = 60480.

The previous prime is 68227. The next prime is 68239. The reversal of 68237 is 73286.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 67081 = 34^2 + 259^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 68237 - 210 = 67213 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68237.

It is not an unprimeable number, because it can be changed into a prime (68239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

268237 is an apocalyptic number.

It is an amenable number.

68237 is a deficient number, since it is larger than the sum of its proper divisors (8203).

68237 is a wasteful number, since it uses less digits than its factorization.

68237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 2016, while the sum is 26.

The square root of 68237 is about 261.2221276998. Note that the first 3 decimals coincide. The cubic root of 68237 is about 40.8639152640.

The spelling of 68237 in words is "sixty-eight thousand, two hundred thirty-seven".

Divisors: 1 13 29 181 377 2353 5249 68237