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86380736 = 2613473
BaseRepresentation
bin1010010011000…
…01000011000000
320000112121002112
411021201003000
5134103140421
612323234452
72066136611
oct511410300
9200477075
1086380736
114483a142
1224b18a28
1314b85780
14b687c08
1578b445b
hex52610c0

86380736 has 56 divisors (see below), whose sum is σ = 188610240. Its totient is φ = 39019776.

The previous prime is 86380729. The next prime is 86380741. The reversal of 86380736 is 63708368.

It is a junction number, because it is equal to n+sod(n) for n = 86380693 and 86380702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837865 + ... + 1837911.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 286380736 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 86380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305120).

86380736 is an abundant number, since it is smaller than the sum of its proper divisors (102229504).

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

86380736 is an frugal number, since it uses more digits than its factorization.

86380736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 86380736 is about 9294.1237349198. The cubic root of 86380736 is about 442.0509212915.

The spelling of 86380736 in words is "eighty-six million, three hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2209 2444 3008 4418 4888 8836 9776 17672 19552 28717 35344 39104 57434 70688 103823 114868 141376 207646 229736 415292 459472 830584 918944 1349699 1661168 1837888 2699398 3322336 5398796 6644672 10797592 21595184 43190368 86380736