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21343420 = 2257229751
BaseRepresentation
bin101000101101…
…0110010111100
31111011100200001
41101122302330
520430442140
62041244044
7346262500
oct121326274
944140601
1021343420
111105869a
127193624
134563a57
142b98300
151d18e9a
hex145acbc

21343420 has 72 divisors (see below), whose sum is σ = 54008640. Its totient is φ = 7056000.

The previous prime is 21343373. The next prime is 21343429. The reversal of 21343420 is 2434312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28045 + ... + 28795.

It is an arithmetic number, because the mean of its divisors is an integer number (750120).

Almost surely, 221343420 is an apocalyptic number.

21343420 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 21343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004320).

21343420 is an abundant number, since it is smaller than the sum of its proper divisors (32665220).

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

21343420 is a wasteful number, since it uses less digits than its factorization.

21343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 21343420 is about 4619.8939381765. The cubic root of 21343420 is about 277.3882135034.

Adding to 21343420 its reverse (2434312), we get a palindrome (23777732).

The spelling of 21343420 in words is "twenty-one million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 751 812 980 1015 1421 1502 2030 2842 3004 3755 4060 5257 5684 7105 7510 10514 14210 15020 21028 21779 26285 28420 36799 43558 52570 73598 87116 105140 108895 147196 152453 183995 217790 304906 367990 435580 609812 735980 762265 1067171 1524530 2134342 3049060 4268684 5335855 10671710 21343420