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103986 = 23253109
BaseRepresentation
bin11001011000110010
312021122100
4121120302
511311421
62121230
7612111
oct313062
9167570
10103986
1171143
1250216
133843c
1429c78
1520c26
hex19632

103986 has 24 divisors (see below), whose sum is σ = 231660. Its totient is φ = 33696.

The previous prime is 103981. The next prime is 103991. The reversal of 103986 is 689301.

It is an interprime number because it is at equal distance from previous prime (103981) and next prime (103991).

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 4761 = 315^2 + 69^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900 + ... + 1008.

2103986 is an apocalyptic number.

103986 is an abundant number, since it is smaller than the sum of its proper divisors (127674).

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

103986 is a wasteful number, since it uses less digits than its factorization.

103986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103986 is about 322.4686031228. The cubic root of 103986 is about 47.0245834876.

It can be divided in two parts, 10398 and 6, that added together give a square (10404 = 1022).

The spelling of 103986 in words is "one hundred three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 53 106 109 159 218 318 327 477 654 954 981 1962 5777 11554 17331 34662 51993 103986