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12084114 = 237192797
BaseRepresentation
bin101110000110…
…001110010010
3211201221021210
4232012032102
511043142424
61111000550
7204466440
oct56061622
924657253
1012084114
116903a79
124069156
132671383
141867b90
1510da729
hexb86392

12084114 has 48 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 3266784.

The previous prime is 12084113. The next prime is 12084119. The reversal of 12084114 is 41148021.

It is a happy number.

It is a super-2 number, since 2×120841142 = 292051622329992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12084113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14764 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 212084114 is an apocalyptic number.

12084114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

12084114 is an abundant number, since it is smaller than the sum of its proper divisors (17103534).

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

12084114 is a wasteful number, since it uses less digits than its factorization.

12084114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12084114 is about 3476.2212242606. The cubic root of 12084114 is about 229.4765284685.

The spelling of 12084114 in words is "twelve million, eighty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 797 798 1083 1594 2166 2391 2527 4782 5054 5579 7581 11158 15143 15162 16737 30286 33474 45429 90858 106001 212002 287717 318003 575434 636006 863151 1726302 2014019 4028038 6042057 12084114