Search a number
-
+
12823740 = 22325191373
BaseRepresentation
bin110000111010…
…110010111100
3220010111212100
4300322302330
511240324430
61134505100
7213666666
oct60726274
926114770
1012823740
117269736
124365190
13286cc17
1419bb536
1511d4960
hexc3acbc

12823740 has 72 divisors (see below), whose sum is σ = 39207168. Its totient is φ = 3392640.

The previous prime is 12823717. The next prime is 12823747. The reversal of 12823740 is 4732821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823747) 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 23 ways as a sum of consecutive naturals, for example, 34194 + ... + 34566.

It is an arithmetic number, because the mean of its divisors is an integer number (544544).

Almost surely, 212823740 is an apocalyptic number.

12823740 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 12823740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584).

12823740 is an abundant number, since it is smaller than the sum of its proper divisors (26383428).

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

12823740 is a wasteful number, since it uses less digits than its factorization.

12823740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12823740 is about 3581.0249929315. The cubic root of 12823740 is about 234.0659467865.

The spelling of 12823740 in words is "twelve million, eight hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 373 382 573 746 764 955 1119 1146 1492 1719 1865 1910 2238 2292 2865 3357 3438 3730 3820 4476 5595 5730 6714 6876 7460 8595 11190 11460 13428 16785 17190 22380 33570 34380 67140 71243 142486 213729 284972 356215 427458 641187 712430 854916 1068645 1282374 1424860 2137290 2564748 3205935 4274580 6411870 12823740