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12984120 = 2332536067
BaseRepresentation
bin110001100001…
…111100111000
3220102122212100
4301201330320
511310442440
61142143400
7215235402
oct61417470
926378770
1012984120
117369186
124421b60
1328c7c16
141a1db72
151217230
hexc61f38

12984120 has 48 divisors (see below), whose sum is σ = 42199560. Its totient is φ = 3462336.

The previous prime is 12984113. The next prime is 12984149. The reversal of 12984120 is 2148921.

12984120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17674 + ... + 18393.

Almost surely, 212984120 is an apocalyptic number.

12984120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12984120 is an abundant number, since it is smaller than the sum of its proper divisors (29215440).

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

12984120 is a wasteful number, since it uses less digits than its factorization.

12984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36084 (or 36077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12984120 is about 3603.3484427682. The cubic root of 12984120 is about 235.0376882364.

The spelling of 12984120 in words is "twelve million, nine hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 36067 72134 108201 144268 180335 216402 288536 324603 360670 432804 541005 649206 721340 865608 1082010 1298412 1442680 1623015 2164020 2596824 3246030 4328040 6492060 12984120