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12145000 = 23547347
BaseRepresentation
bin101110010101…
…000101101000
3211212000210211
4232111011220
511102120000
61112150504
7205142110
oct56250550
924760724
1012145000
11694579a
124098434
132692cba
141882040
1510ed7ba
hexb95168

12145000 has 80 divisors (see below), whose sum is σ = 32614560. Its totient is φ = 4152000.

The previous prime is 12144983. The next prime is 12145013. The reversal of 12145000 is 54121.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34827 + ... + 35173.

It is an arithmetic number, because the mean of its divisors is an integer number (407682).

Almost surely, 212145000 is an apocalyptic number.

12145000 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 12145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307280).

12145000 is an abundant number, since it is smaller than the sum of its proper divisors (20469560).

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

12145000 is an equidigital number, since it uses as much as digits as its factorization.

12145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 12145000 is about 3484.9677186453. The cubic root of 12145000 is about 229.8612900236.

Adding to 12145000 its reverse (54121), we get a palindrome (12199121).

The spelling of 12145000 in words is "twelve million, one hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 347 350 500 625 694 700 875 1000 1250 1388 1400 1735 1750 2429 2500 2776 3470 3500 4375 4858 5000 6940 7000 8675 8750 9716 12145 13880 17350 17500 19432 24290 34700 35000 43375 48580 60725 69400 86750 97160 121450 173500 216875 242900 303625 347000 433750 485800 607250 867500 1214500 1518125 1735000 2429000 3036250 6072500 12145000