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11004 = 2237131
BaseRepresentation
bin10101011111100
3120002120
42223330
5323004
6122540
744040
oct25374
916076
1011004
1182a4
126450
135016
144020
1533d9
hex2afc

11004 has 24 divisors (see below), whose sum is σ = 29568. Its totient is φ = 3120.

The previous prime is 11003. The next prime is 11027. The reversal of 11004 is 40011.

Adding to 11004 its reverse (40011), we get a palindrome (51015).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a junction number, because it is equal to n+sod(n) for n = 10983 and 11001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003) 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, 19 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

211004 is an apocalyptic number.

11004 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 11004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784).

11004 is an abundant number, since it is smaller than the sum of its proper divisors (18564).

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

11004 is a wasteful number, since it uses less digits than its factorization.

11004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11004 is about 104.8999523355. The cubic root of 11004 is about 22.2424963124.

The spelling of 11004 in words is "eleven thousand, four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004