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21213820 = 22523107431
BaseRepresentation
bin101000011101…
…1001001111100
31110220202220001
41100323021330
520412320240
62034404044
7345212605
oct120731174
943822801
1021213820
1110a7a291
127130624
134519a74
142b62dac
151ce089a
hex143b27c

21213820 has 48 divisors (see below), whose sum is σ = 47029248. Its totient is φ = 8022080.

The previous prime is 21213811. The next prime is 21213847. The reversal of 21213820 is 2831212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49005 + ... + 49435.

It is an arithmetic number, because the mean of its divisors is an integer number (979776).

Almost surely, 221213820 is an apocalyptic number.

21213820 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 21213820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624).

21213820 is an abundant number, since it is smaller than the sum of its proper divisors (25815428).

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

21213820 is a wasteful number, since it uses less digits than its factorization.

21213820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 21213820 is about 4605.8462848862. The cubic root of 21213820 is about 276.8256275903.

The spelling of 21213820 in words is "twenty-one million, two hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 428 431 460 535 862 1070 1724 2140 2155 2461 4310 4922 8620 9844 9913 12305 19826 24610 39652 46117 49220 49565 92234 99130 184468 198260 230585 461170 922340 1060691 2121382 4242764 5303455 10606910 21213820