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12640224 = 253353373
BaseRepresentation
bin110000001101…
…111111100000
3212210012010110
4300031333200
511213441344
61130531320
7212303652
oct60157740
925705113
1012640224
117153873
124296b40
13280752c
1419706d2
15119a3b9
hexc0dfe0

12640224 has 48 divisors (see below), whose sum is σ = 33363792. Its totient is φ = 4190208.

The previous prime is 12640217. The next prime is 12640241. The reversal of 12640224 is 42204621.

12640224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×126402243 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12640224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33702 + ... + 34074.

It is an arithmetic number, because the mean of its divisors is an integer number (695079).

Almost surely, 212640224 is an apocalyptic number.

It is an amenable number.

12640224 is an abundant number, since it is smaller than the sum of its proper divisors (20723568).

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

12640224 is a wasteful number, since it uses less digits than its factorization.

12640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12640224 is about 3555.3092692479. The cubic root of 12640224 is about 232.9440329268.

Adding to 12640224 its reverse (42204621), we get a palindrome (54844845).

The spelling of 12640224 in words is "twelve million, six hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 353 373 706 746 1059 1119 1412 1492 2118 2238 2824 2984 4236 4476 5648 5968 8472 8952 11296 11936 16944 17904 33888 35808 131669 263338 395007 526676 790014 1053352 1580028 2106704 3160056 4213408 6320112 12640224