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12644320 = 255136079
BaseRepresentation
bin110000001110…
…111111100000
3212210101202011
4300032333200
511214104240
61131002304
7212321623
oct60167740
925711664
1012644320
117156957
124299394
132809360
141971dba
15119b6ea
hexc0efe0

12644320 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4667904.

The previous prime is 12644299. The next prime is 12644341. The reversal of 12644320 is 2344621.

It is a happy number.

12644320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12644299) and next prime (12644341).

It is a junction number, because it is equal to n+sod(n) for n = 12644291 and 12644300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960 + ... + 5119.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 212644320 is an apocalyptic number.

12644320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12644320 is an abundant number, since it is smaller than the sum of its proper divisors (19531040).

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

12644320 is a wasteful number, since it uses less digits than its factorization.

12644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12644320 is about 3555.8852624909. The cubic root of 12644320 is about 232.9691916507.

Adding to 12644320 its reverse (2344621), we get a palindrome (14988941).

The spelling of 12644320 in words is "twelve million, six hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6079 12158 24316 30395 48632 60790 79027 97264 121580 158054 194528 243160 316108 395135 486320 632216 790270 972640 1264432 1580540 2528864 3161080 6322160 12644320