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21468420 = 22325412909
BaseRepresentation
bin101000111100…
…1010100000100
31111101201010200
41101321110010
520443442140
62044050500
7350323101
oct121712404
944351120
1021468420
11111335a6
127233a30
1345a890c
142bcbaa8
151d41030
hex1479504

21468420 has 72 divisors (see below), whose sum is σ = 66732120. Its totient is φ = 5583360.

The previous prime is 21468413. The next prime is 21468431. The reversal of 21468420 is 2486412.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 20196036 = 1128^2 + 4494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5926 + ... + 8834.

It is an arithmetic number, because the mean of its divisors is an integer number (926835).

Almost surely, 221468420 is an apocalyptic number.

21468420 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 21468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33366060).

21468420 is an abundant number, since it is smaller than the sum of its proper divisors (45263700).

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

21468420 is a wasteful number, since it uses less digits than its factorization.

21468420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21468420 is about 4633.4026373714. The cubic root of 21468420 is about 277.9286775956.

The spelling of 21468420 in words is "twenty-one million, four hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 2909 3690 5818 7380 8727 11636 14545 17454 26181 29090 34908 43635 52362 58180 87270 104724 119269 130905 174540 238538 261810 357807 477076 523620 596345 715614 1073421 1192690 1431228 1789035 2146842 2385380 3578070 4293684 5367105 7156140 10734210 21468420