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12843424 = 2511231107
BaseRepresentation
bin110000111111…
…100110100000
3220011111212101
4300333212200
511241442144
61135140144
7214111246
oct60774640
926144771
1012843424
117282500
124374654
132878b79
1419c4796
1511da6d4
hexc3f9a0

12843424 has 72 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5596800.

The previous prime is 12843421. The next prime is 12843451. The reversal of 12843424 is 42434821.

It is a happy number.

12843424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12843392 and 12843401.

It is not an unprimeable number, because it can be changed into a prime (12843421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119979 + ... + 120085.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 212843424 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 12843424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

12843424 is an abundant number, since it is smaller than the sum of its proper divisors (16114400).

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

12843424 is a wasteful number, since it uses less digits than its factorization.

12843424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 12843424 is about 3583.7723141963. The cubic root of 12843424 is about 234.1856466226.

The spelling of 12843424 in words is "twelve million, eight hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 107 121 124 176 214 242 248 341 352 428 484 496 682 856 968 992 1177 1364 1712 1936 2354 2728 3317 3424 3751 3872 4708 5456 6634 7502 9416 10912 12947 13268 15004 18832 25894 26536 30008 36487 37664 51788 53072 60016 72974 103576 106144 120032 145948 207152 291896 401357 414304 583792 802714 1167584 1605428 3210856 6421712 12843424