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20212038 = 2337114861
BaseRepresentation
bin100110100011…
…0100101000110
31102000212201000
41031012211012
520133241123
62001114130
7333541140
oct115064506
942025630
1020212038
1110455670
126928946
134258ab2
142981c90
151b93b43
hex1346946

20212038 has 64 divisors (see below), whose sum is σ = 56010240. Its totient is φ = 5248800.

The previous prime is 20212033. The next prime is 20212063. The reversal of 20212038 is 83021202.

It is a happy number.

It is a super-2 number, since 2×202120382 = 817052960226888, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20212038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212033) by changing a digit.

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, 1728 + ... + 6588.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 220212038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28005120).

20212038 is an abundant number, since it is smaller than the sum of its proper divisors (35798202).

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

20212038 is a wasteful number, since it uses less digits than its factorization.

20212038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20212038 is about 4495.7800213089. The cubic root of 20212038 is about 272.3976576095.

The spelling of 20212038 in words is "twenty million, two hundred twelve thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 4861 9722 14583 29166 34027 43749 53471 68054 87498 102081 106942 131247 160413 204162 262494 306243 320826 374297 481239 612486 748594 918729 962478 1122891 1443717 1837458 2245782 2887434 3368673 6737346 10106019 20212038