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12140064 = 253314051
BaseRepresentation
bin101110010011…
…111000100000
3211211210001000
4232103320200
511101440224
61112112000
7205121526
oct56237040
924753030
1012140064
116942012
124095600
132690991
141880316
1510ec0c9
hexb93e20

12140064 has 48 divisors (see below), whose sum is σ = 35411040. Its totient is φ = 4046400.

The previous prime is 12140047. The next prime is 12140071. The reversal of 12140064 is 46004121.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 6162 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (737730).

Almost surely, 212140064 is an apocalyptic number.

It is an amenable number.

12140064 is an abundant number, since it is smaller than the sum of its proper divisors (23270976).

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

12140064 is a wasteful number, since it uses less digits than its factorization.

12140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070 (or 14056 counting only the distinct ones).

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

The square root of 12140064 is about 3484.2594622100. The cubic root of 12140064 is about 229.8301455452.

Adding to 12140064 its reverse (46004121), we get a palindrome (58144185).

The spelling of 12140064 in words is "twelve million, one hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14051 28102 42153 56204 84306 112408 126459 168612 224816 252918 337224 379377 449632 505836 674448 758754 1011672 1348896 1517508 2023344 3035016 4046688 6070032 12140064