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12324480 = 273572131
BaseRepresentation
bin101111000000…
…111010000000
3212012011000020
4233000322000
511123340410
61120053440
7206520300
oct57007200
925164006
1012324480
116a58623
124164280
1327268bc
1418cb600
151136a70
hexbc0e80

12324480 has 192 divisors, whose sum is σ = 46046880. Its totient is φ = 2795520.

The previous prime is 12324437. The next prime is 12324497. The reversal of 12324480 is 8442321.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12324480.

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, 94015 + ... + 94145.

Almost surely, 212324480 is an apocalyptic number.

12324480 is a gapful number since it is divisible by the number (10) 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 12324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023440).

12324480 is an abundant number, since it is smaller than the sum of its proper divisors (33722400).

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

12324480 is a wasteful number, since it uses less digits than its factorization.

12324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12324480 is about 3510.6238761793. The cubic root of 12324480 is about 230.9880618256.

The spelling of 12324480 in words is "twelve million, three hundred twenty-four thousand, four hundred eighty".