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12308000 = 255317181
BaseRepresentation
bin101110111100…
…111000100000
3212011022101212
4232330320200
511122324000
61115445252
7206421245
oct56747040
925138355
1012308000
116a47201
124156828
13271c253
1418c55cc
151131c35
hexbbce20

12308000 has 96 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 4608000.

The previous prime is 12307993. The next prime is 12308011. The reversal of 12308000 is 80321.

12308000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1936 + 12306064 = 44^2 + 3508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67910 + ... + 68090.

Almost surely, 212308000 is an apocalyptic number.

12308000 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 12308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

12308000 is an abundant number, since it is smaller than the sum of its proper divisors (19888528).

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

12308000 is a wasteful number, since it uses less digits than its factorization.

12308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12308000 is about 3508.2759298550. The cubic root of 12308000 is about 230.8850586630.

Adding to 12308000 its reverse (80321), we get a palindrome (12388321).

The spelling of 12308000 in words is "twelve million, three hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 181 200 250 272 340 362 400 425 500 544 680 724 800 850 905 1000 1360 1448 1700 1810 2000 2125 2720 2896 3077 3400 3620 4000 4250 4525 5792 6154 6800 7240 8500 9050 12308 13600 14480 15385 17000 18100 22625 24616 28960 30770 34000 36200 45250 49232 61540 68000 72400 76925 90500 98464 123080 144800 153850 181000 246160 307700 362000 384625 492320 615400 724000 769250 1230800 1538500 2461600 3077000 6154000 12308000