Search a number
-
+
12003048 = 2332473547
BaseRepresentation
bin101101110010…
…011011101000
3211120211002100
4231302123220
511033044143
61105133400
7204011211
oct55623350
924524070
1012003048
116859082
12402a260
1326434c5
141846408
1510c16d3
hexb726e8

12003048 has 48 divisors (see below), whose sum is σ = 33209280. Its totient is φ = 3914784.

The previous prime is 12003011. The next prime is 12003073. The reversal of 12003048 is 84030021.

It is a happy number.

It is a super-2 number, since 2×120030482 = 288146322580608, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12003048.

It is an unprimeable number.

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, 1611 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (691860).

Almost surely, 212003048 is an apocalyptic number.

12003048 is a gapful number since it is divisible by the number (18) 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 12003048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604640).

12003048 is an abundant number, since it is smaller than the sum of its proper divisors (21206232).

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

12003048 is a wasteful number, since it uses less digits than its factorization.

12003048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12003048 is about 3464.5415281102. The cubic root of 12003048 is about 228.9622306976.

Adding to 12003048 its reverse (84030021), we get a palindrome (96033069).

The spelling of 12003048 in words is "twelve million, three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 3547 7094 10641 14188 21282 28376 31923 42564 63846 85128 127692 166709 255384 333418 500127 666836 1000254 1333672 1500381 2000508 3000762 4001016 6001524 12003048