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12169000 = 235343283
BaseRepresentation
bin101110011010…
…111100101000
3211220020201201
4232122330220
511103402000
61112453544
7205302064
oct56327450
924806651
1012169000
116961828
1240aa2b4
1326a0bbc
14188aaa4
15110596a
hexb9af28

12169000 has 64 divisors (see below), whose sum is σ = 29240640. Its totient is φ = 4737600.

The previous prime is 12168973. The next prime is 12169037. The reversal of 12169000 is 96121.

It is a super-2 number, since 2×121690002 = 296169122000000, which contains 22 as substring.

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, 42859 + ... + 43141.

It is an arithmetic number, because the mean of its divisors is an integer number (456885).

Almost surely, 212169000 is an apocalyptic number.

12169000 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 12169000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620320).

12169000 is an abundant number, since it is smaller than the sum of its proper divisors (17071640).

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

12169000 is a wasteful number, since it uses less digits than its factorization.

12169000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 12169000 is about 3488.4093796457. The cubic root of 12169000 is about 230.0126017040.

The spelling of 12169000 in words is "twelve million, one hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 283 344 430 500 566 860 1000 1075 1132 1415 1720 2150 2264 2830 4300 5375 5660 7075 8600 10750 11320 12169 14150 21500 24338 28300 35375 43000 48676 56600 60845 70750 97352 121690 141500 243380 283000 304225 486760 608450 1216900 1521125 2433800 3042250 6084500 12169000