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21412400 = 2452199269
BaseRepresentation
bin101000110101…
…1101000110000
31111021212021212
41101223220300
520440144100
62042535252
7350000552
oct121535060
944255255
1021412400
11110a54a9
127207528
134589279
142bb54d2
151d2e635
hex146ba30

21412400 has 60 divisors (see below), whose sum is σ = 51894000. Its totient is φ = 8490240.

The previous prime is 21412387. The next prime is 21412429. The reversal of 21412400 is 421412.

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 11 ways as a sum of consecutive naturals, for example, 79466 + ... + 79734.

It is an arithmetic number, because the mean of its divisors is an integer number (864900).

Almost surely, 221412400 is an apocalyptic number.

21412400 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 21412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947000).

21412400 is an abundant number, since it is smaller than the sum of its proper divisors (30481600).

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

21412400 is a wasteful number, since it uses less digits than its factorization.

21412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 21412400 is about 4627.3534552701. The cubic root of 21412400 is about 277.6867233412.

Adding to 21412400 its reverse (421412), we get a palindrome (21833812).

It can be divided in two parts, 21412 and 400, that added together give a palindrome (21812).

The spelling of 21412400 in words is "twenty-one million, four hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 199 200 269 398 400 538 796 995 1076 1345 1592 1990 2152 2690 3184 3980 4304 4975 5380 6725 7960 9950 10760 13450 15920 19900 21520 26900 39800 53531 53800 79600 107062 107600 214124 267655 428248 535310 856496 1070620 1338275 2141240 2676550 4282480 5353100 10706200 21412400