Search a number
-
+
12063200 = 255217887
BaseRepresentation
bin101110000001…
…000111100000
3211200212121012
4232001013200
511042010300
61110320052
7204351452
oct56010740
924625535
1012063200
11689a296
124059028
1326649b6
1418602d2
1510d4435
hexb811e0

12063200 has 72 divisors (see below), whose sum is σ = 31216752. Its totient is φ = 4536320.

The previous prime is 12063197. The next prime is 12063203. The reversal of 12063200 is 236021.

It is an interprime number because it is at equal distance from previous prime (12063197) and next prime (12063203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12063203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13157 + ... + 14043.

It is an arithmetic number, because the mean of its divisors is an integer number (433566).

Almost surely, 212063200 is an apocalyptic number.

12063200 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 12063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608376).

12063200 is an abundant number, since it is smaller than the sum of its proper divisors (19153552).

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

12063200 is a wasteful number, since it uses less digits than its factorization.

12063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12063200 is about 3473.2117701056. The cubic root of 12063200 is about 229.3440668614.

Adding to 12063200 its reverse (236021), we get a palindrome (12299221).

The spelling of 12063200 in words is "twelve million, sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 887 1360 1700 1774 2720 3400 3548 4435 6800 7096 8870 13600 14192 15079 17740 22175 28384 30158 35480 44350 60316 70960 75395 88700 120632 141920 150790 177400 241264 301580 354800 376975 482528 603160 709600 753950 1206320 1507900 2412640 3015800 6031600 12063200