Search a number
-
+
12544020 = 22325227307
BaseRepresentation
bin101111110110…
…100000010100
3212121022011100
4233312200110
511202402040
61124510100
7211423326
oct57664024
925538140
1012544020
117098565
12424b330
1327a27c8
141947616
15117bb30
hexbf6814

12544020 has 72 divisors (see below), whose sum is σ = 38342304. Its totient is φ = 3319488.

The previous prime is 12544019. The next prime is 12544027. The reversal of 12544020 is 2044521.

12544020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12543984 and 12544002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40707 + ... + 41013.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 212544020 is an apocalyptic number.

12544020 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 12544020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171152).

12544020 is an abundant number, since it is smaller than the sum of its proper divisors (25798284).

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

12544020 is a wasteful number, since it uses less digits than its factorization.

12544020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12544020 is about 3541.7538028497. The cubic root of 12544020 is about 232.3515528286.

Adding to 12544020 its reverse (2044521), we get a palindrome (14588541).

The spelling of 12544020 in words is "twelve million, five hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 307 454 614 681 908 921 1135 1228 1362 1535 1842 2043 2270 2724 2763 3070 3405 3684 4086 4540 4605 5526 6140 6810 8172 9210 10215 11052 13620 13815 18420 20430 27630 40860 55260 69689 139378 209067 278756 348445 418134 627201 696890 836268 1045335 1254402 1393780 2090670 2508804 3136005 4181340 6272010 12544020