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1086682820 = 225392913829
BaseRepresentation
bin100000011000101…
…0111011011000100
32210201210012120212
41000301113123010
54211142322240
6255455214552
735633436326
oct10061273304
92721705525
101086682820
11508449983
12263b17458
1314419a2b2
14a4473616
1565605165
hex40c576c4

1086682820 has 24 divisors (see below), whose sum is σ = 2282779800. Its totient is φ = 434531072.

The previous prime is 1086682787. The next prime is 1086682843. The reversal of 1086682820 is 282866801.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 1081225924 = 2336^2 + 32882^2 .

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 7 ways as a sum of consecutive naturals, for example, 71666 + ... + 85494.

It is an arithmetic number, because the mean of its divisors is an integer number (95115825).

Almost surely, 21086682820 is an apocalyptic number.

1086682820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086682820 is an abundant number, since it is smaller than the sum of its proper divisors (1196096980).

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

1086682820 is a wasteful number, since it uses less digits than its factorization.

1086682820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17767 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 1086682820 is about 32964.8725160587. The cubic root of 1086682820 is about 1028.0974146508.

The spelling of 1086682820 in words is "one billion, eighty-six million, six hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 3929 7858 13829 15716 19645 27658 39290 55316 69145 78580 138290 276580 54334141 108668282 217336564 271670705 543341410 1086682820