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2001104 = 247171051
BaseRepresentation
bin111101000100011010000
310202122222222
413220203100
51003013404
6110520212
723003060
oct7504320
93678888
102001104
111147506
12806068
13550ab1
143a13a0
15297dbe
hex1e88d0

2001104 has 40 divisors (see below), whose sum is σ = 4696128. Its totient is φ = 806400.

The previous prime is 2001101. The next prime is 2001127. The reversal of 2001104 is 4011002.

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

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 2001091 and 2001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1379 + ... + 2429.

22001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348064).

2001104 is an abundant number, since it is smaller than the sum of its proper divisors (2695024).

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

2001104 is a wasteful number, since it uses less digits than its factorization.

2001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).

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

The square root of 2001104 is about 1414.6038314666. The cubic root of 2001104 is about 126.0152832725.

Adding to 2001104 its reverse (4011002), we get a palindrome (6012106).

The spelling of 2001104 in words is "two million, one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1051 1904 2102 4204 7357 8408 14714 16816 17867 29428 35734 58856 71468 117712 125069 142936 250138 285872 500276 1000552 2001104