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12430824 = 2337611213
BaseRepresentation
bin101111011010…
…110111101000
3212101112212220
4233122313220
511140241244
61122234040
7210442320
oct57326750
925345786
1012430824
11702050a
1241b5920
132763123
141918280
151158319
hexbdade8

12430824 has 64 divisors (see below), whose sum is σ = 36128640. Its totient is φ = 3490560.

The previous prime is 12430823. The next prime is 12430829. The reversal of 12430824 is 42803421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12430794 and 12430803.

It is not an unprimeable number, because it can be changed into a prime (12430823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9642 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (564510).

Almost surely, 212430824 is an apocalyptic number.

12430824 is a gapful number since it is divisible by the number (14) 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 12430824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064320).

12430824 is an abundant number, since it is smaller than the sum of its proper divisors (23697816).

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

12430824 is a wasteful number, since it uses less digits than its factorization.

12430824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12430824 is about 3525.7373696859. The cubic root of 12430824 is about 231.6505341031.

The spelling of 12430824 in words is "twelve million, four hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1213 1281 1464 1708 2426 2562 3416 3639 4852 5124 7278 8491 9704 10248 14556 16982 25473 29112 33964 50946 67928 73993 101892 147986 203784 221979 295972 443958 517951 591944 887916 1035902 1553853 1775832 2071804 3107706 4143608 6215412 12430824