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12184140 = 2235613329
BaseRepresentation
bin101110011110…
…101001001100
3211221000111110
4232132221030
511104343030
61113052020
7205364163
oct56365114
924830443
1012184140
116972141
1240b7010
1326a7a67
1418923da
15110a1b0
hexb9ea4c

12184140 has 48 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 3194880.

The previous prime is 12184127. The next prime is 12184157. The reversal of 12184140 is 4148121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 212184140 is an apocalyptic number.

12184140 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 12184140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

12184140 is an abundant number, since it is smaller than the sum of its proper divisors (22501140).

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

12184140 is a wasteful number, since it uses less digits than its factorization.

12184140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3400 counting only the distinct ones).

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

The square root of 12184140 is about 3490.5787485745. The cubic root of 12184140 is about 230.1079518447.

The spelling of 12184140 in words is "twelve million, one hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3329 3660 6658 9987 13316 16645 19974 33290 39948 49935 66580 99870 199740 203069 406138 609207 812276 1015345 1218414 2030690 2436828 3046035 4061380 6092070 12184140