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12442540 = 22511232459
BaseRepresentation
bin101111011101…
…101110101100
3212102010221211
4233131232230
511141130130
61122404204
7210521425
oct57355654
925363854
1012442540
1170292a0
124200664
132768566
14191c64c
15115ba2a
hexbddbac

12442540 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 4326080.

The previous prime is 12442531. The next prime is 12442553. The reversal of 12442540 is 4524421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831 + ... + 6289.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 212442540 is an apocalyptic number.

12442540 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 12442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

12442540 is an abundant number, since it is smaller than the sum of its proper divisors (17313620).

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

12442540 is a wasteful number, since it uses less digits than its factorization.

12442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 12442540 is about 3527.3984747970. The cubic root of 12442540 is about 231.7232878067.

Adding to 12442540 its reverse (4524421), we get a palindrome (16966961).

The spelling of 12442540 in words is "twelve million, four hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2459 2530 4918 5060 9836 12295 24590 27049 49180 54098 56557 108196 113114 135245 226228 270490 282785 540980 565570 622127 1131140 1244254 2488508 3110635 6221270 12442540