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12014640 = 24325113741
BaseRepresentation
bin101101110101…
…010000110000
3211121101222200
4231311100300
511033432030
61105303200
7204060051
oct55652060
924541880
1012014640
116866860
124034b00
132648871
14184a728
1510c4d60
hexb75430

12014640 has 240 divisors, whose sum is σ = 46309536. Its totient is φ = 2764800.

The previous prime is 12014633. The next prime is 12014663. The reversal of 12014640 is 4641021.

12014640 is a `hidden beast` number, since 1 + 20 + 1 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293020 + ... + 293060.

Almost surely, 212014640 is an apocalyptic number.

12014640 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 12014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

12014640 is an abundant number, since it is smaller than the sum of its proper divisors (34294896).

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

12014640 is a wasteful number, since it uses less digits than its factorization.

12014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12014640 is about 3466.2140730197. The cubic root of 12014640 is about 229.0359140993.

Adding to 12014640 its reverse (4641021), we get a palindrome (16655661).

The spelling of 12014640 in words is "twelve million, fourteen thousand, six hundred forty".