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12744820 = 22511193049
BaseRepresentation
bin110000100111…
…100001110100
3212222111121101
4300213201310
511230313240
61133055444
7213220624
oct60474164
925874541
1012744820
117215410
124327584
13284301a
14199a884
1511bb39a
hexc27874

12744820 has 48 divisors (see below), whose sum is σ = 30744000. Its totient is φ = 4389120.

The previous prime is 12744817. The next prime is 12744821. The reversal of 12744820 is 2844721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656 + ... + 5704.

It is an arithmetic number, because the mean of its divisors is an integer number (640500).

Almost surely, 212744820 is an apocalyptic number.

12744820 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 12744820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372000).

12744820 is an abundant number, since it is smaller than the sum of its proper divisors (17999180).

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

12744820 is a wasteful number, since it uses less digits than its factorization.

12744820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12744820 is about 3569.9887955006. The cubic root of 12744820 is about 233.5847946646.

Subtracting from 12744820 its reverse (2844721), we obtain a palindrome (9900099).

The spelling of 12744820 in words is "twelve million, seven hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3049 4180 6098 12196 15245 30490 33539 57931 60980 67078 115862 134156 167695 231724 289655 335390 579310 637241 670780 1158620 1274482 2548964 3186205 6372410 12744820