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12032424 = 2332167117
BaseRepresentation
bin101101111001…
…100110101000
3211122022101100
4231321212220
511040014144
61105521400
7204162645
oct55714650
924568340
1012032424
116879158
124043260
1326539a1
141852dcc
1510ca269
hexb799a8

12032424 has 24 divisors (see below), whose sum is σ = 32588010. Its totient is φ = 4010784.

The previous prime is 12032417. The next prime is 12032429. The reversal of 12032424 is 42423021.

It can be written as a sum of positive squares in only one way, i.e., 9108324 + 2924100 = 3018^2 + 1710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12032397 and 12032406.

It is not an unprimeable number, because it can be changed into a prime (12032429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83487 + ... + 83630.

Almost surely, 212032424 is an apocalyptic number.

It is an amenable number.

12032424 is an abundant number, since it is smaller than the sum of its proper divisors (20555586).

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

12032424 is a wasteful number, since it uses less digits than its factorization.

12032424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167129 (or 167122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12032424 is about 3468.7784593427. The cubic root of 12032424 is about 229.1488642626.

Adding to 12032424 its reverse (42423021), we get a palindrome (54455445).

The spelling of 12032424 in words is "twelve million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167117 334234 501351 668468 1002702 1336936 1504053 2005404 3008106 4010808 6016212 12032424