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87318 = 2347211
BaseRepresentation
bin10101010100010110
311102210000
4111110112
510243233
61512130
7512400
oct252426
9142700
1087318
115a670
1242646
133098a
1423b70
151ad13
hex15516

87318 has 60 divisors (see below), whose sum is σ = 248292. Its totient is φ = 22680.

The previous prime is 87317. The next prime is 87323. The reversal of 87318 is 81378.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87291 and 87300.

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 87318.

It is not an unprimeable number, because it can be changed into a prime (87313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7933 + ... + 7943.

287318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146).

87318 is an abundant number, since it is smaller than the sum of its proper divisors (160974).

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

87318 is a wasteful number, since it uses less digits than its factorization.

87318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 87318 is about 295.4961928689. The cubic root of 87318 is about 44.3643980491.

The spelling of 87318 in words is "eighty-seven thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 539 567 594 693 882 891 1078 1134 1323 1386 1617 1782 2079 2646 3234 3969 4158 4851 6237 7938 9702 12474 14553 29106 43659 87318