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12089000 = 2353711157
BaseRepresentation
bin101110000111…
…011010101000
3211202011222202
4232013122220
511043322000
61111035332
7204516620
oct56073250
924664882
1012089000
116907710
12406bb48
132673671
141869880
1510dbdd5
hexb876a8

12089000 has 128 divisors (see below), whose sum is σ = 35493120. Its totient is φ = 3744000.

The previous prime is 12088991. The next prime is 12089059. The reversal of 12089000 is 98021.

12089000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120890002 = 292287842000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76922 + ... + 77078.

It is an arithmetic number, because the mean of its divisors is an integer number (277290).

Almost surely, 212089000 is an apocalyptic number.

12089000 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 12089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746560).

12089000 is an abundant number, since it is smaller than the sum of its proper divisors (23404120).

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

12089000 is a wasteful number, since it uses less digits than its factorization.

12089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12089000 is about 3476.9239278420. The cubic root of 12089000 is about 229.5074525737.

12089000 divided by its sum of digits (20) gives a triangular number (604450 = T1099).

The spelling of 12089000 in words is "twelve million, eighty-nine thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 157 175 200 220 250 275 280 308 314 350 385 440 500 550 616 628 700 770 785 875 1000 1099 1100 1256 1375 1400 1540 1570 1727 1750 1925 2198 2200 2750 3080 3140 3454 3500 3850 3925 4396 5495 5500 6280 6908 7000 7700 7850 8635 8792 9625 10990 11000 12089 13816 15400 15700 17270 19250 19625 21980 24178 27475 31400 34540 38500 39250 43175 43960 48356 54950 60445 69080 77000 78500 86350 96712 109900 120890 137375 157000 172700 215875 219800 241780 274750 302225 345400 431750 483560 549500 604450 863500 1099000 1208900 1511125 1727000 2417800 3022250 6044500 12089000