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12146200 = 2352115521
BaseRepresentation
bin101110010101…
…011000011000
3211212002110021
4232111120120
511102134300
61112200224
7205145443
oct56253030
924762407
1012146200
116946690
124099074
132693701
14188265a
1510edd1a
hexb95618

12146200 has 48 divisors (see below), whose sum is σ = 30812760. Its totient is φ = 4416000.

The previous prime is 12146191. The next prime is 12146201. The reversal of 12146200 is 264121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146201) 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 11 ways as a sum of consecutive naturals, for example, 561 + ... + 4960.

Almost surely, 212146200 is an apocalyptic number.

12146200 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 12146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406380).

12146200 is an abundant number, since it is smaller than the sum of its proper divisors (18666560).

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

12146200 is a wasteful number, since it uses less digits than its factorization.

12146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12146200 is about 3485.1398824151. The cubic root of 12146200 is about 229.8688603397.

The spelling of 12146200 in words is "twelve million, one hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5521 11042 22084 27605 44168 55210 60731 110420 121462 138025 220840 242924 276050 303655 485848 552100 607310 1104200 1214620 1518275 2429240 3036550 6073100 12146200