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12406320 = 2432517231
BaseRepresentation
bin101111010100…
…111000110000
3212100022021100
4233110320300
511134000240
61121524400
7210311013
oct57247060
925308240
1012406320
117004063
1241a3700
132754c24
14190d37a
151150e30
hexbd4e30

12406320 has 60 divisors (see below), whose sum is σ = 41666976. Its totient is φ = 3308160.

The previous prime is 12406307. The next prime is 12406321. The reversal of 12406320 is 2360421.

It is a happy number.

12406320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 12406293 and 12406302.

It is not an unprimeable number, because it can be changed into a prime (12406321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7896 + ... + 9335.

Almost surely, 212406320 is an apocalyptic number.

12406320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12406320 is an abundant number, since it is smaller than the sum of its proper divisors (29260656).

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

12406320 is a wasteful number, since it uses less digits than its factorization.

12406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12406320 is about 3522.2606377155. The cubic root of 12406320 is about 231.4982218996.

Adding to 12406320 its reverse (2360421), we get a palindrome (14766741).

The spelling of 12406320 in words is "twelve million, four hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17231 34462 51693 68924 86155 103386 137848 155079 172310 206772 258465 275696 310158 344620 413544 516930 620316 689240 775395 827088 1033860 1240632 1378480 1550790 2067720 2481264 3101580 4135440 6203160 12406320