Search a number
-
+
12023424 = 27337271
BaseRepresentation
bin101101110111…
…011010000000
3211121212001000
4231313122000
511034222144
61105412000
7204124500
oct55673200
924555030
1012023424
116872416
12403a000
13264c86a
14184da00
1510c7769
hexb77680

12023424 has 192 divisors, whose sum is σ = 41860800. Its totient is φ = 3386880.

The previous prime is 12023419. The next prime is 12023461. The reversal of 12023424 is 42432021.

12023424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 12023397 and 12023406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169309 + ... + 169379.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 212023424 is an apocalyptic number.

12023424 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 12023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

12023424 is an abundant number, since it is smaller than the sum of its proper divisors (29837376).

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

12023424 is an equidigital number, since it uses as much as digits as its factorization.

12023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

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

The square root of 12023424 is about 3467.4809300124. The cubic root of 12023424 is about 229.0917171689.

Adding to 12023424 its reverse (42432021), we get a palindrome (54455445).

The spelling of 12023424 in words is "twelve million, twenty-three thousand, four hundred twenty-four".