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1084104 = 23347239
BaseRepresentation
bin100001000101011001000
32001002010000
410020223020
5234142404
635123000
712133440
oct4105310
92032100
101084104
1168055a
12443460
132bc5a8
14203120
15166339
hex108ac8

1084104 has 80 divisors (see below), whose sum is σ = 3484800. Its totient is φ = 308448.

The previous prime is 1084103. The next prime is 1084133. The reversal of 1084104 is 4014801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1084103) 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 19 ways as a sum of consecutive naturals, for example, 4417 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (43560).

21084104 is an apocalyptic number.

1084104 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 1084104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742400).

1084104 is an abundant number, since it is smaller than the sum of its proper divisors (2400696).

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

1084104 is a wasteful number, since it uses less digits than its factorization.

1084104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1084104 is about 1041.2031502065. The cubic root of 1084104 is about 102.7283507055.

Adding to 1084104 its reverse (4014801), we get a palindrome (5098905).

The spelling of 1084104 in words is "one million, eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 239 252 324 378 478 504 567 648 717 756 956 1134 1434 1512 1673 1912 2151 2268 2868 3346 4302 4536 5019 5736 6453 6692 8604 10038 12906 13384 15057 17208 19359 20076 25812 30114 38718 40152 45171 51624 60228 77436 90342 120456 135513 154872 180684 271026 361368 542052 1084104