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14121424 = 2417193269
BaseRepresentation
bin110101110111…
…100111010000
3222120102221201
4311313213100
512103341144
61222400544
7231013222
oct65674720
928512851
1014121424
117a756a9
124890154
132c05795
141c38412
15138e1d4
hexd779d0

14121424 has 40 divisors (see below), whose sum is σ = 29228040. Its totient is φ = 6586368.

The previous prime is 14121421. The next prime is 14121433. The reversal of 14121424 is 42412141.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 13838400 = 532^2 + 3720^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52362 + ... + 52630.

It is an arithmetic number, because the mean of its divisors is an integer number (730701).

Almost surely, 214121424 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 14121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614020).

14121424 is an abundant number, since it is smaller than the sum of its proper divisors (15106616).

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

14121424 is a wasteful number, since it uses less digits than its factorization.

14121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 14121424 is about 3757.8483205153. The cubic root of 14121424 is about 241.7090052390.

Adding to 14121424 its reverse (42412141), we get a palindrome (56533565).

The spelling of 14121424 in words is "fourteen million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 193 269 272 386 538 772 1076 1544 2152 3088 3281 4304 4573 6562 9146 13124 18292 26248 36584 51917 52496 73168 103834 207668 415336 830672 882589 1765178 3530356 7060712 14121424