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103984 = 246797
BaseRepresentation
bin11001011000110000
312021122021
4121120300
511311414
62121224
7612106
oct313060
9167567
10103984
1171141
1250214
133843a
1429c76
1520c24
hex19630

103984 has 20 divisors (see below), whose sum is σ = 206584. Its totient is φ = 50688.

The previous prime is 103981. The next prime is 103991. The reversal of 103984 is 489301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103984.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1024 + ... + 1120.

2103984 is an apocalyptic number.

It is an amenable number.

103984 is a deficient number, since it is larger than the sum of its proper divisors (102600).

103984 is an equidigital number, since it uses as much as digits as its factorization.

103984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 103984 is about 322.4655020308. The cubic root of 103984 is about 47.0242820054.

The spelling of 103984 in words is "one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 67 97 134 194 268 388 536 776 1072 1552 6499 12998 25996 51992 103984