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20424420 = 22335109347
BaseRepresentation
bin100110111101…
…0011011100100
31102102200001000
41031322123210
520212040140
62005433300
7335414262
oct115723344
942380030
1020424420
1110590195
126a0b830
134301673
1429d9432
151bd6a30
hex137a6e4

20424420 has 96 divisors (see below), whose sum is σ = 64310400. Its totient is φ = 5380992.

The previous prime is 20424409. The next prime is 20424421. The reversal of 20424420 is 2442402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20424393 and 20424402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58687 + ... + 59033.

It is an arithmetic number, because the mean of its divisors is an integer number (669900).

Almost surely, 220424420 is an apocalyptic number.

20424420 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 20424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155200).

20424420 is an abundant number, since it is smaller than the sum of its proper divisors (43885980).

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

20424420 is a wasteful number, since it uses less digits than its factorization.

20424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20424420 is about 4519.3384471624. The cubic root of 20424420 is about 273.3484260289.

Adding to 20424420 its reverse (2442402), we get a palindrome (22866822).

The spelling of 20424420 in words is "twenty million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 347 436 540 545 654 694 981 1041 1090 1308 1388 1635 1735 1962 2082 2180 2943 3123 3270 3470 3924 4164 4905 5205 5886 6246 6540 6940 9369 9810 10410 11772 12492 14715 15615 18738 19620 20820 29430 31230 37476 37823 46845 58860 62460 75646 93690 113469 151292 187380 189115 226938 340407 378230 453876 567345 680814 756460 1021221 1134690 1361628 1702035 2042442 2269380 3404070 4084884 5106105 6808140 10212210 20424420