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12071424 = 29329271
BaseRepresentation
bin101110000011…
…001000000000
3211201021212210
4232003020000
511042241144
61110422120
7204414441
oct56031000
924637783
1012071424
1168a5492
124061940
132668671
1418632c8
1510d6ab9
hexb83200

12071424 has 80 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 3870720.

The previous prime is 12071407. The next prime is 12071429. The reversal of 12071424 is 42417021.

It is a happy number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12071424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44409 + ... + 44679.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 212071424 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 12071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695360).

12071424 is an abundant number, since it is smaller than the sum of its proper divisors (21319296).

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

12071424 is an equidigital number, since it uses as much as digits as its factorization.

12071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12071424 is about 3474.3954869876. The cubic root of 12071424 is about 229.3961729126.

Adding to 12071424 its reverse (42417021), we get a palindrome (54488445).

The spelling of 12071424 in words is "twelve million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 271 348 384 464 512 542 696 768 813 928 1084 1392 1536 1626 1856 2168 2784 3252 3712 4336 5568 6504 7424 7859 8672 11136 13008 14848 15718 17344 22272 23577 26016 31436 34688 44544 47154 52032 62872 69376 94308 104064 125744 138752 188616 208128 251488 377232 416256 502976 754464 1005952 1508928 2011904 3017856 4023808 6035712 12071424