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2543112 = 23321113219
BaseRepresentation
bin1001101100111000001000
311210012111100
421230320020
51122334422
6130301400
730421215
oct11547010
94705440
102543112
111487750
12a27860
136b0700
144a2b0c
153537ac
hex26ce08

2543112 has 144 divisors (see below), whose sum is σ = 8564400. Its totient is φ = 673920.

The previous prime is 2543111. The next prime is 2543113. The reversal of 2543112 is 2113452.

It is an interprime number because it is at equal distance from previous prime (2543111) and next prime (2543113).

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

Its product of digits (240) is a multiple of the sum of its prime divisors (48).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2543111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133839 + ... + 133857.

It is an arithmetic number, because the mean of its divisors is an integer number (59475).

22543112 is an apocalyptic number.

2543112 is a gapful number since it is divisible by the number (22) 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 2543112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282200).

2543112 is an abundant number, since it is smaller than the sum of its proper divisors (6021288).

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

2543112 is a wasteful number, since it uses less digits than its factorization.

2543112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2543112 is about 1594.7137674203. The cubic root of 2543112 is about 136.4965985547.

Adding to 2543112 its reverse (2113452), we get a palindrome (4656564).

The spelling of 2543112 in words is "two million, five hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 33 36 38 39 44 52 57 66 72 76 78 88 99 104 114 117 132 143 152 156 169 171 198 209 228 234 247 264 286 312 338 342 396 418 429 456 468 494 507 572 627 676 684 741 792 836 858 936 988 1014 1144 1254 1287 1352 1368 1482 1521 1672 1716 1859 1881 1976 2028 2223 2508 2574 2717 2964 3042 3211 3432 3718 3762 4056 4446 5016 5148 5434 5577 5928 6084 6422 7436 7524 8151 8892 9633 10296 10868 11154 12168 12844 14872 15048 16302 16731 17784 19266 21736 22308 24453 25688 28899 32604 33462 35321 38532 44616 48906 57798 65208 66924 70642 77064 97812 105963 115596 133848 141284 195624 211926 231192 282568 317889 423852 635778 847704 1271556 2543112