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12054020 = 22511217293
BaseRepresentation
bin101101111110…
…111000000100
3211200102000012
4231332320010
511041212040
61110205352
7204312626
oct55767004
924612005
1012054020
116893400
124053858
132660774
14185ac16
1510d1865
hexb7ee04

12054020 has 72 divisors (see below), whose sum is σ = 29561112. Its totient is φ = 4111360.

The previous prime is 12054019. The next prime is 12054023. The reversal of 12054020 is 2045021.

It can be written as a sum of positive squares in 4 ways, for example, as 5541316 + 6512704 = 2354^2 + 2552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12053986 and 12054004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12054023) 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 23 ways as a sum of consecutive naturals, for example, 40994 + ... + 41286.

It is an arithmetic number, because the mean of its divisors is an integer number (410571).

Almost surely, 212054020 is an apocalyptic number.

12054020 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 12054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780556).

12054020 is an abundant number, since it is smaller than the sum of its proper divisors (17507092).

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

12054020 is a wasteful number, since it uses less digits than its factorization.

12054020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 12054020 is about 3471.8899752152. The cubic root of 12054020 is about 229.2858757562.

Adding to 12054020 its reverse (2045021), we get a palindrome (14099041).

It can be divided in two parts, 1205 and 4020, that added together give a palindrome (5225).

The spelling of 12054020 in words is "twelve million, fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 293 340 374 484 586 605 748 935 1172 1210 1465 1870 2057 2420 2930 3223 3740 4114 4981 5860 6446 8228 9962 10285 12892 16115 19924 20570 24905 32230 35453 41140 49810 54791 64460 70906 99620 109582 141812 177265 219164 273955 354530 547910 602701 709060 1095820 1205402 2410804 3013505 6027010 12054020