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86360540 = 2257312589
BaseRepresentation
bin1010010010111…
…00000111011100
320000111120101112
411021130013130
5134102014130
612323001152
72066024000
oct511340734
9200446345
1086360540
1144825a52
1224b091b8
1314b79516
14b680700
1578ad495
hex525c1dc

86360540 has 48 divisors (see below), whose sum is σ = 211512000. Its totient is φ = 29606976.

The previous prime is 86360539. The next prime is 86360557. The reversal of 86360540 is 4506368.

It is a junction number, because it is equal to n+sod(n) for n = 86360497 and 86360506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (4406500).

Almost surely, 286360540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86360540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105756000).

86360540 is an abundant number, since it is smaller than the sum of its proper divisors (125151460).

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

86360540 is a wasteful number, since it uses less digits than its factorization.

86360540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 86360540 is about 9293.0371784471. The cubic root of 86360540 is about 442.0164677907.

The spelling of 86360540 in words is "eighty-six million, three hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 12589 25178 50356 62945 88123 125890 176246 251780 352492 440615 616861 881230 1233722 1762460 2467444 3084305 4318027 6168610 8636054 12337220 17272108 21590135 43180270 86360540