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21342420 = 22335113593
BaseRepresentation
bin101000101101…
…0100011010100
31111011022022000
41101122203110
520430424140
62041235300
7346256541
oct121324324
944138260
1021342420
1111057970
127192b30
134563468
142b97bc8
151d18a30
hex145a8d4

21342420 has 96 divisors (see below), whose sum is σ = 72455040. Its totient is φ = 5172480.

The previous prime is 21342407. The next prime is 21342421. The reversal of 21342420 is 2424312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21342393 and 21342402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4144 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (754740).

Almost surely, 221342420 is an apocalyptic number.

21342420 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 21342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36227520).

21342420 is an abundant number, since it is smaller than the sum of its proper divisors (51112620).

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

21342420 is a wasteful number, since it uses less digits than its factorization.

21342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21342420 is about 4619.7857093160. The cubic root of 21342420 is about 277.3838812932.

Adding to 21342420 its reverse (2424312), we get a palindrome (23766732).

It can be divided in two parts, 213424 and 20, that added together give a square (213444 = 4622).

The spelling of 21342420 in words is "twenty-one million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3593 5940 7186 10779 14372 17965 21558 32337 35930 39523 43116 53895 64674 71860 79046 97011 107790 118569 129348 158092 161685 194022 197615 215580 237138 323370 355707 388044 395230 474276 485055 592845 646740 711414 790460 970110 1067121 1185690 1422828 1778535 1940220 2134242 2371380 3557070 4268484 5335605 7114140 10671210 21342420