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21420200 = 2352107101
BaseRepresentation
bin101000110110…
…1100010101000
31111022020222202
41101231202220
520440421300
62043035332
7350032364
oct121554250
944266882
1021420200
111110034a
12720bb48
13458c999
142bb82a4
151d31ad5
hex146d8a8

21420200 has 24 divisors (see below), whose sum is σ = 49802430. Its totient is φ = 8568000.

The previous prime is 21420169. The next prime is 21420209. The reversal of 21420200 is 202412.

It can be written as a sum of positive squares in 3 ways, for example, as 9572836 + 11847364 = 3094^2 + 3442^2 .

It is not an unprimeable number, because it can be changed into a prime (21420209) 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 5 ways as a sum of consecutive naturals, for example, 53351 + ... + 53750.

Almost surely, 221420200 is an apocalyptic number.

21420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21420200 is an abundant number, since it is smaller than the sum of its proper divisors (28382230).

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

21420200 is a wasteful number, since it uses less digits than its factorization.

21420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107117 (or 107108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 21420200 is about 4628.1961929028. The cubic root of 21420200 is about 277.7204373495.

Adding to 21420200 its reverse (202412), we get a palindrome (21622612).

The spelling of 21420200 in words is "twenty-one million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 107101 214202 428404 535505 856808 1071010 2142020 2677525 4284040 5355050 10710100 21420200