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12003420 = 223511131399
BaseRepresentation
bin101101110010…
…100001011100
3211120211121010
4231302201130
511033102140
61105135220
7204012252
oct55624134
924524533
1012003420
116859390
12402a510
132643720
1418465d2
1510c1880
hexb7285c

12003420 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 2684160.

The previous prime is 12003391. The next prime is 12003427. The reversal of 12003420 is 2430021.

12003420 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 super-3 number, since 3×120034203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12003396 and 12003405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7881 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 212003420 is an apocalyptic number.

12003420 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 12003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

12003420 is an abundant number, since it is smaller than the sum of its proper divisors (27510180).

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

12003420 is a wasteful number, since it uses less digits than its factorization.

12003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12003420 is about 3464.5952144515. The cubic root of 12003420 is about 228.9645960154.

Adding to 12003420 its reverse (2430021), we get a palindrome (14433441).

The spelling of 12003420 in words is "twelve million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1399 1430 1716 2145 2798 2860 4197 4290 5596 6995 8394 8580 13990 15389 16788 18187 20985 27980 30778 36374 41970 46167 54561 61556 72748 76945 83940 90935 92334 109122 153890 181870 184668 200057 218244 230835 272805 307780 363740 400114 461670 545610 600171 800228 923340 1000285 1091220 1200342 2000570 2400684 3000855 4001140 6001710 12003420