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21362420 = 2258211301
BaseRepresentation
bin101000101111…
…1011011110100
31111012022201202
41101133123310
520432044140
62041512032
7346402052
oct121373364
944168652
1021362420
11110709a2
1271a2618
13456c5b1
142ba11d2
151d1e915
hex145f6f4

21362420 has 24 divisors (see below), whose sum is σ = 44950248. Its totient is φ = 8528000.

The previous prime is 21362417. The next prime is 21362447. The reversal of 21362420 is 2426312.

21362420 = 3612 + 3622 + ... + 4802.

It can be written as a sum of positive squares in 4 ways, for example, as 605284 + 20757136 = 778^2 + 4556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21362392 and 21362401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15770 + ... + 17070.

It is an arithmetic number, because the mean of its divisors is an integer number (1872927).

Almost surely, 221362420 is an apocalyptic number.

21362420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21362420 is an abundant number, since it is smaller than the sum of its proper divisors (23587828).

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

21362420 is a wasteful number, since it uses less digits than its factorization.

21362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 21362420 is about 4621.9498050065. The cubic root of 21362420 is about 277.4704997994.

Adding to 21362420 its reverse (2426312), we get a palindrome (23788732).

The spelling of 21362420 in words is "twenty-one million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 821 1301 1642 2602 3284 4105 5204 6505 8210 13010 16420 26020 1068121 2136242 4272484 5340605 10681210 21362420