Search a number
-
+
12440000 = 2654311
BaseRepresentation
bin101111011101…
…000111000000
3212102000110202
4233131013000
511141040000
61122344332
7210511136
oct57350700
925360422
1012440000
1170273a1
1241bb0a8
132767361
14191b756
15115add5
hexbdd1c0

12440000 has 70 divisors (see below), whose sum is σ = 30946344. Its totient is φ = 4960000.

The previous prime is 12439979. The next prime is 12440009. The reversal of 12440000 is 4421.

12440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39845 + ... + 40155.

Almost surely, 212440000 is an apocalyptic number.

12440000 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 12440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473172).

12440000 is an abundant number, since it is smaller than the sum of its proper divisors (18506344).

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

12440000 is an frugal number, since it uses more digits than its factorization.

12440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12440000 is about 3527.0384177097. The cubic root of 12440000 is about 231.7075188612.

Adding to 12440000 its reverse (4421), we get a palindrome (12444421).

The spelling of 12440000 in words is "twelve million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 311 320 400 500 622 625 800 1000 1244 1250 1555 1600 2000 2488 2500 3110 4000 4976 5000 6220 7775 8000 9952 10000 12440 15550 19904 20000 24880 31100 38875 40000 49760 62200 77750 99520 124400 155500 194375 248800 311000 388750 497600 622000 777500 1244000 1555000 2488000 3110000 6220000 12440000