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12004920 = 2332533347
BaseRepresentation
bin101101110010…
…111000111000
3211120220122200
4231302320320
511033124140
61105150200
7204016524
oct55627070
924526580
1012004920
11685a524
12402b360
132644305
141846d84
1510c2030
hexb72e38

12004920 has 48 divisors (see below), whose sum is σ = 39017160. Its totient is φ = 3201216.

The previous prime is 12004891. The next prime is 12004921. The reversal of 12004920 is 2940021.

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

12004920 is a modest number, since divided by 4920 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12004893 and 12004902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16314 + ... + 17033.

Almost surely, 212004920 is an apocalyptic number.

12004920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004920 is an abundant number, since it is smaller than the sum of its proper divisors (27012240).

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

12004920 is a wasteful number, since it uses less digits than its factorization.

12004920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33364 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12004920 is about 3464.8116831943. The cubic root of 12004920 is about 228.9741330915.

Adding to 12004920 its reverse (2940021), we get a palindrome (14944941).

The spelling of 12004920 in words is "twelve million, four thousand, nine 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 33347 66694 100041 133388 166735 200082 266776 300123 333470 400164 500205 600246 666940 800328 1000410 1200492 1333880 1500615 2000820 2400984 3001230 4001640 6002460 12004920