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111104 = 29731
BaseRepresentation
bin11011001000000000
312122101222
4123020000
512023404
62214212
7641630
oct331000
9178358
10111104
1176524
1254368
133b756
142c6c0
1522dbe
hex1b200

111104 has 40 divisors (see below), whose sum is σ = 261888. Its totient is φ = 46080.

The previous prime is 111103. The next prime is 111109. The reversal of 111104 is 401111.

Adding to 111104 its reverse (401111), we get a palindrome (512215).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 111091 and 111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3569 + ... + 3599.

2111104 is an apocalyptic number.

111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944).

111104 is an abundant number, since it is smaller than the sum of its proper divisors (150784).

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

111104 is an frugal number, since it uses more digits than its factorization.

111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 111104 is about 333.3226664960. The cubic root of 111104 is about 48.0739600553.

The spelling of 111104 in words is "one hundred eleven thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3472 3584 3968 6944 7936 13888 15872 27776 55552 111104