Search a number
-
+
12330000 = 243254137
BaseRepresentation
bin101111000010…
…010000010000
3212012102120200
4233002100100
511124030000
61120135200
7206542344
oct57022020
925172520
1012330000
116a61791
124167500
132729277
1418cd624
151138500
hexbc2410

12330000 has 150 divisors (see below), whose sum is σ = 43434534. Its totient is φ = 3264000.

The previous prime is 12329963. The next prime is 12330011. The reversal of 12330000 is 3321.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 4309776 + 8020224 = 2076^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89932 + ... + 90068.

Almost surely, 212330000 is an apocalyptic number.

12330000 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 12330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717267).

12330000 is an abundant number, since it is smaller than the sum of its proper divisors (31104534).

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

12330000 is a wasteful number, since it uses less digits than its factorization.

12330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 12330000 is about 3511.4099732159. The cubic root of 12330000 is about 231.0225423551.

Adding to 12330000 its reverse (3321), we get a palindrome (12333321).

The spelling of 12330000 in words is "twelve million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 137 144 150 180 200 225 240 250 274 300 360 375 400 411 450 500 548 600 625 685 720 750 822 900 1000 1096 1125 1200 1233 1250 1370 1500 1644 1800 1875 2000 2055 2192 2250 2466 2500 2740 3000 3288 3425 3600 3750 4110 4500 4932 5000 5480 5625 6000 6165 6576 6850 7500 8220 9000 9864 10000 10275 10960 11250 12330 13700 15000 16440 17125 18000 19728 20550 22500 24660 27400 30000 30825 32880 34250 41100 45000 49320 51375 54800 61650 68500 82200 85625 90000 98640 102750 123300 137000 154125 164400 171250 205500 246600 256875 274000 308250 342500 411000 493200 513750 616500 685000 770625 822000 1027500 1233000 1370000 1541250 2055000 2466000 3082500 4110000 6165000 12330000