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12142424 = 237216829
BaseRepresentation
bin101110010100…
…011101011000
3211211220021102
4232110131120
511102024144
61112130532
7205131440
oct56243530
924756242
1012142424
116943868
124096a48
132691a88
141881120
1510ecb4e
hexb94758

12142424 has 16 divisors (see below), whose sum is σ = 26019600. Its totient is φ = 5203872.

The previous prime is 12142423. The next prime is 12142433. The reversal of 12142424 is 42424121.

12142424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12142396 and 12142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108359 + ... + 108470.

It is an arithmetic number, because the mean of its divisors is an integer number (1626225).

Almost surely, 212142424 is an apocalyptic number.

12142424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12142424 is an abundant number, since it is smaller than the sum of its proper divisors (13877176).

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

12142424 is a wasteful number, since it uses less digits than its factorization.

12142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216842 (or 216838 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 12142424 is about 3484.5981116909. The cubic root of 12142424 is about 229.8450373943.

Adding to 12142424 its reverse (42424121), we get a palindrome (54566545).

The spelling of 12142424 in words is "twelve million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 216829 433658 867316 1517803 1734632 3035606 6071212 12142424