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21064120 = 2357211977
BaseRepresentation
bin101000001011…
…0100110111000
31110122011112121
41100112212320
520343022440
62031251024
7344020300
oct120264670
943564477
1021064120
1110987870
127079a74
13449689c
142b24600
151cb134a
hex14169b8

21064120 has 96 divisors (see below), whose sum is σ = 60205680. Its totient is φ = 6558720.

The previous prime is 21064117. The next prime is 21064133. The reversal of 21064120 is 2146012.

It is a junction number, because it is equal to n+sod(n) for n = 21064094 and 21064103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21072 + ... + 22048.

Almost surely, 221064120 is an apocalyptic number.

21064120 is a gapful number since it is divisible by the number (20) 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 21064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30102840).

21064120 is an abundant number, since it is smaller than the sum of its proper divisors (39141560).

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

21064120 is a wasteful number, since it uses less digits than its factorization.

21064120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21064120 is about 4589.5664283241. The cubic root of 21064120 is about 276.1729295045.

It can be divided in two parts, 2106 and 4120, that added together give a palindrome (6226).

The spelling of 21064120 in words is "twenty-one million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 977 980 1078 1540 1954 1960 2156 2695 3080 3908 4312 4885 5390 6839 7816 9770 10747 10780 13678 19540 21494 21560 27356 34195 39080 42988 47873 53735 54712 68390 75229 85976 95746 107470 136780 150458 191492 214940 239365 273560 300916 376145 382984 429880 478730 526603 601832 752290 957460 1053206 1504580 1914920 2106412 2633015 3009160 4212824 5266030 10532060 21064120