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2512368 = 243273239
BaseRepresentation
bin1001100101010111110000
311201122022200
421211113300
51120343433
6125503200
730232455
oct11452760
94648280
102512368
111466641
12a11b00
1369c711
1449582c
15349613
hex2655f0

2512368 has 60 divisors (see below), whose sum is σ = 7157280. Its totient is φ = 822528.

The previous prime is 2512343. The next prime is 2512369. The reversal of 2512368 is 8632152.

2512368 is nontrivially palindromic in base 11.

2512368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10393 + ... + 10631.

It is an arithmetic number, because the mean of its divisors is an integer number (119288).

22512368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578640).

2512368 is an abundant number, since it is smaller than the sum of its proper divisors (4644912).

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

2512368 is a wasteful number, since it uses less digits than its factorization.

2512368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2512368 is about 1585.0451097682. The cubic root of 2512368 is about 135.9443255392.

The spelling of 2512368 in words is "two million, five hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 239 292 438 478 584 657 717 876 956 1168 1314 1434 1752 1912 2151 2628 2868 3504 3824 4302 5256 5736 8604 10512 11472 17208 17447 34416 34894 52341 69788 104682 139576 157023 209364 279152 314046 418728 628092 837456 1256184 2512368