Search a number
-
+
12004804 = 2272232663
BaseRepresentation
bin101101110010…
…110111000100
3211120220111101
4231302313010
511033123204
61105145444
7204016300
oct55626704
924526441
1012004804
11685a429
12402b284
132644246
141846d00
1510c1ea4
hexb72dc4

12004804 has 36 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 4919376.

The previous prime is 12004801. The next prime is 12004807. The reversal of 12004804 is 40840021.

It is an interprime number because it is at equal distance from previous prime (12004801) and next prime (12004807).

It is not an unprimeable number, because it can be changed into a prime (12004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3177 + ... + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (708624).

Almost surely, 212004804 is an apocalyptic number.

12004804 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 12004804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

12004804 is an abundant number, since it is smaller than the sum of its proper divisors (13505660).

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

12004804 is a wasteful number, since it uses less digits than its factorization.

12004804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12004804 is about 3464.7949434274. The cubic root of 12004804 is about 228.9733955859.

Adding to 12004804 its reverse (40840021), we get a palindrome (52844825).

The spelling of 12004804 in words is "twelve million, four thousand, eight hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 2663 4508 5326 10652 18641 37282 61249 74564 122498 130487 244996 260974 428743 521948 857486 1714972 3001201 6002402 12004804