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12144280 = 235734159
BaseRepresentation
bin101110010100…
…111010011000
3211211222211011
4232110322120
511102104110
61112143304
7205140031
oct56247230
924758734
1012144280
1169451a5
124097b34
132692885
141881a88
1510ed48a
hexb94e98

12144280 has 32 divisors (see below), whose sum is σ = 27705600. Its totient is φ = 4790016.

The previous prime is 12144263. The next prime is 12144289. The reversal of 12144280 is 8244121.

12144280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (865800).

Almost surely, 212144280 is an apocalyptic number.

12144280 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 12144280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852800).

12144280 is an abundant number, since it is smaller than the sum of its proper divisors (15561320).

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

12144280 is a wasteful number, since it uses less digits than its factorization.

12144280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 12144280 is about 3484.8644163009. The cubic root of 12144280 is about 229.8567475947.

The spelling of 12144280 in words is "twelve million, one hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4159 8318 16636 20795 33272 41590 83180 166360 303607 607214 1214428 1518035 2428856 3036070 6072140 12144280