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21421200 = 2435217851
BaseRepresentation
bin101000110110…
…1110010010000
31111022022100210
41101231302100
520440434300
62043044120
7350035323
oct121556220
944268323
1021421200
1111101079
127210640
134590288
142bb87ba
151d32050
hex146dc90

21421200 has 60 divisors (see below), whose sum is σ = 68623088. Its totient is φ = 5712000.

The previous prime is 21421177. The next prime is 21421201. The reversal of 21421200 is 212412.

21421200 = T319 + T320 + ... + T543.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21421201) 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 11 ways as a sum of consecutive naturals, for example, 7726 + ... + 10125.

Almost surely, 221421200 is an apocalyptic number.

21421200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21421200 is an abundant number, since it is smaller than the sum of its proper divisors (47201888).

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

21421200 is a wasteful number, since it uses less digits than its factorization.

21421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17872 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21421200 is about 4628.3042250915. The cubic root of 21421200 is about 277.7247590663.

Adding to 21421200 its reverse (212412), we get a palindrome (21633612).

The spelling of 21421200 in words is "twenty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17851 35702 53553 71404 89255 107106 142808 178510 214212 267765 285616 357020 428424 446275 535530 714040 856848 892550 1071060 1338825 1428080 1785100 2142120 2677650 3570200 4284240 5355300 7140400 10710600 21421200