Search a number
-
+
12024540 = 22325116073
BaseRepresentation
bin101101110111…
…101011011100
3211121220120100
4231313223130
511034241130
61105421100
7204130653
oct55675334
924556510
1012024540
116873240
12403a790
132650218
14185019a
1510c7c60
hexb77adc

12024540 has 72 divisors (see below), whose sum is σ = 39796848. Its totient is φ = 2914560.

The previous prime is 12024539. The next prime is 12024577. The reversal of 12024540 is 4542021.

12024540 is a `hidden beast` number, since 120 + 2 + 4 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057 + ... + 5016.

It is an arithmetic number, because the mean of its divisors is an integer number (552734).

Almost surely, 212024540 is an apocalyptic number.

12024540 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 12024540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898424).

12024540 is an abundant number, since it is smaller than the sum of its proper divisors (27772308).

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

12024540 is a wasteful number, since it uses less digits than its factorization.

12024540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12024540 is about 3467.6418500185. The cubic root of 12024540 is about 229.0988049570.

Adding to 12024540 its reverse (4542021), we get a palindrome (16566561).

The spelling of 12024540 in words is "twelve million, twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6073 12146 18219 24292 30365 36438 54657 60730 66803 72876 91095 109314 121460 133606 182190 200409 218628 267212 273285 334015 364380 400818 546570 601227 668030 801636 1002045 1093140 1202454 1336060 2004090 2404908 3006135 4008180 6012270 12024540