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12027000 = 2335319211
BaseRepresentation
bin101101111000…
…010001111000
3211122000221110
4231320101320
511034331000
61105440320
7204141066
oct55702170
924560843
1012027000
116875077
1240400a0
13265138b
141851036
1510c8850
hexb78478

12027000 has 128 divisors (see below), whose sum is σ = 39686400. Its totient is φ = 3024000.

The previous prime is 12026983. The next prime is 12027011. The reversal of 12027000 is 72021.

12027000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 56895 + ... + 57105.

It is an arithmetic number, because the mean of its divisors is an integer number (310050).

Almost surely, 212027000 is an apocalyptic number.

12027000 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 12027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843200).

12027000 is an abundant number, since it is smaller than the sum of its proper divisors (27659400).

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

12027000 is a wasteful number, since it uses less digits than its factorization.

12027000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12027000 is about 3467.9965397907. The cubic root of 12027000 is about 229.1144270274.

Adding to 12027000 its reverse (72021), we get a palindrome (12099021).

It can be divided in two parts, 120 and 27000, that multiplied together give a square (3240000 = 18002).

The spelling of 12027000 in words is "twelve million, twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 211 228 250 285 300 375 380 422 456 475 500 570 600 633 750 760 844 950 1000 1055 1140 1266 1425 1500 1688 1900 2110 2280 2375 2532 2850 3000 3165 3800 4009 4220 4750 5064 5275 5700 6330 7125 8018 8440 9500 10550 11400 12027 12660 14250 15825 16036 19000 20045 21100 24054 25320 26375 28500 31650 32072 40090 42200 48108 52750 57000 60135 63300 79125 80180 96216 100225 105500 120270 126600 158250 160360 200450 211000 240540 300675 316500 400900 481080 501125 601350 633000 801800 1002250 1202700 1503375 2004500 2405400 3006750 4009000 6013500 12027000