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1086581041 = 713107111593
BaseRepresentation
bin100000011000011…
…1110100100110001
32210201121000222021
41000300332210301
54211131043131
6255453111441
735632533520
oct10060764461
92721530867
101086581041
1150838a467
12263a88581
13144162b80
14a44484b7
15655d4e11
hex40c3e931

1086581041 has 16 divisors (see below), whose sum is σ = 1349841024. Its totient is φ = 851670144.

The previous prime is 1086581033. The next prime is 1086581053. The reversal of 1086581041 is 1401856801.

It is a happy number.

It is not a de Polignac number, because 1086581041 - 23 = 1086581033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1086580988 and 1086581006.

It is not an unprimeable number, because it can be changed into a prime (1086581011) by changing a digit.

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, 46060 + ... + 65533.

It is an arithmetic number, because the mean of its divisors is an integer number (84365064).

Almost surely, 21086581041 is an apocalyptic number.

It is an amenable number.

1086581041 is a deficient number, since it is larger than the sum of its proper divisors (263259983).

1086581041 is a wasteful number, since it uses less digits than its factorization.

1086581041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111720.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 1086581041 is about 32963.3287305757. The cubic root of 1086581041 is about 1028.0653163569.

The spelling of 1086581041 in words is "one billion, eighty-six million, five hundred eighty-one thousand, forty-one".

Divisors: 1 7 13 91 107 749 1391 9737 111593 781151 1450709 10154963 11940451 83583157 155225863 1086581041