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12656424 = 23311191251
BaseRepresentation
bin110000010001…
…111100101000
3212211000100110
4300101330220
511220001144
61131134320
7212402124
oct60217450
925730313
1012656424
117164a60
1242a43a0
132811a11
141976584
1511a00b9
hexc11f28

12656424 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3800000.

The previous prime is 12656419. The next prime is 12656431. The reversal of 12656424 is 42465621.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 12656391 and 12656400.

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, 50299 + ... + 50549.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 212656424 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 12656424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12656424 is an abundant number, since it is smaller than the sum of its proper divisors (22180056).

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

12656424 is a wasteful number, since it uses less digits than its factorization.

12656424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 12656424 is about 3557.5868225526. The cubic root of 12656424 is about 233.0435059090.

The spelling of 12656424 in words is "twelve million, six hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 251 264 382 502 573 753 764 1004 1146 1506 1528 2008 2101 2292 2761 3012 4202 4584 5522 6024 6303 8283 8404 11044 12606 16566 16808 22088 25212 33132 47941 50424 66264 95882 143823 191764 287646 383528 527351 575292 1054702 1150584 1582053 2109404 3164106 4218808 6328212 12656424