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20202420 = 22357103467
BaseRepresentation
bin100110100010…
…0001110110100
31102000101111210
41031010032310
520132434140
62001001420
7333501120
oct115041664
942011453
1020202420
1110449417
126923270
1342545c4
14297c580
151b90d80
hex13443b4

20202420 has 96 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 4563072.

The previous prime is 20202419. The next prime is 20202437. The reversal of 20202420 is 2420202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20202396 and 20202405.

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 31 ways as a sum of consecutive naturals, for example, 43027 + ... + 43493.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 220202420 is an apocalyptic number.

20202420 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 20202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

20202420 is an abundant number, since it is smaller than the sum of its proper divisors (45212748).

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

20202420 is a wasteful number, since it uses less digits than its factorization.

20202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20202420 is about 4494.7102242525. The cubic root of 20202420 is about 272.3544434889.

Adding to 20202420 its reverse (2420202), we get a palindrome (22622622).

The spelling of 20202420 in words is "twenty million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 467 515 618 721 934 1030 1236 1401 1442 1545 1868 2060 2163 2335 2802 2884 3090 3269 3605 4326 4670 5604 6180 6538 7005 7210 8652 9340 9807 10815 13076 14010 14420 16345 19614 21630 28020 32690 39228 43260 48101 49035 65380 96202 98070 144303 192404 196140 240505 288606 336707 481010 577212 673414 721515 962020 1010121 1346828 1443030 1683535 2020242 2886060 3367070 4040484 5050605 6734140 10101210 20202420