Search a number
-
+
12003040 = 255721531
BaseRepresentation
bin101101110010…
…011011100000
3211120211002001
4231302123200
511033044130
61105133344
7204011200
oct55623340
924524061
1012003040
116859075
12402a254
1326434ba
141846400
1510c16ca
hexb726e0

12003040 has 72 divisors (see below), whose sum is σ = 33008472. Its totient is φ = 4112640.

The previous prime is 12003011. The next prime is 12003073. The reversal of 12003040 is 4030021.

12003040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7075 + ... + 8605.

It is an arithmetic number, because the mean of its divisors is an integer number (458451).

Almost surely, 212003040 is an apocalyptic number.

12003040 is a gapful number since it is divisible by the number (10) 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 12003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504236).

12003040 is an abundant number, since it is smaller than the sum of its proper divisors (21005432).

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

12003040 is a wasteful number, since it uses less digits than its factorization.

12003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12003040 is about 3464.5403735561. The cubic root of 12003040 is about 228.9621798300.

Adding to 12003040 its reverse (4030021), we get a palindrome (16033061).

The spelling of 12003040 in words is "twelve million, three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1531 1568 1960 3062 3920 6124 7655 7840 10717 12248 15310 21434 24496 30620 42868 48992 53585 61240 75019 85736 107170 122480 150038 171472 214340 244960 300076 342944 375095 428680 600152 750190 857360 1200304 1500380 1714720 2400608 3000760 6001520 12003040