Search a number
-
+
12663800 = 2352232753
BaseRepresentation
bin110000010011…
…101111111000
3212211101110122
4300103233320
511220220200
61131232412
7212432462
oct60235770
925741418
1012663800
11716a556
1242a8708
132815196
141979132
1511a2385
hexc13bf8

12663800 has 48 divisors (see below), whose sum is σ = 30734640. Its totient is φ = 4843520.

The previous prime is 12663787. The next prime is 12663803. The reversal of 12663800 is 836621.

It is a self number, because there is not a number n which added to its sum of digits gives 12663800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3224 + ... + 5976.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 212663800 is an apocalyptic number.

12663800 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 12663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367320).

12663800 is an abundant number, since it is smaller than the sum of its proper divisors (18070840).

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

12663800 is a wasteful number, since it uses less digits than its factorization.

12663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12663800 is about 3558.6233293227. The cubic root of 12663800 is about 233.0887686963.

The spelling of 12663800 in words is "twelve million, six hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 2753 4600 5506 11012 13765 22024 27530 55060 63319 68825 110120 126638 137650 253276 275300 316595 506552 550600 633190 1266380 1582975 2532760 3165950 6331900 12663800