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104688 = 2432727
BaseRepresentation
bin11001100011110000
312022121100
4121203300
511322223
62124400
7614133
oct314360
9168540
10104688
1171721
1250700
133885c
142a21a
1521043
hex198f0

104688 has 30 divisors (see below), whose sum is σ = 293384. Its totient is φ = 34848.

The previous prime is 104683. The next prime is 104693. The reversal of 104688 is 886401.

It is an interprime number because it is at equal distance from previous prime (104683) and next prime (104693).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104688.

It is not an unprimeable number, because it can be changed into a prime (104681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220 + ... + 507.

2104688 is an apocalyptic number.

104688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104688 is an abundant number, since it is smaller than the sum of its proper divisors (188696).

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

104688 is a wasteful number, since it uses less digits than its factorization.

104688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104688 is about 323.5552503051. Note that the first 3 decimals coincide. The cubic root of 104688 is about 47.1301658084.

The spelling of 104688 in words is "one hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 727 1454 2181 2908 4362 5816 6543 8724 11632 13086 17448 26172 34896 52344 104688