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20293800 = 23352149227
BaseRepresentation
bin100110101101…
…0100010101000
31102012000212020
41031122202220
520143400200
62002544440
7334331412
oct115324250
942160766
1020293800
111050103a
126968120
134287087
1429a39b2
151bacea0
hex135a8a8

20293800 has 96 divisors (see below), whose sum is σ = 63612000. Its totient is φ = 5351680.

The previous prime is 20293799. The next prime is 20293813. The reversal of 20293800 is 839202.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 89287 + ... + 89513.

It is an arithmetic number, because the mean of its divisors is an integer number (662625).

Almost surely, 220293800 is an apocalyptic number.

20293800 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 20293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806000).

20293800 is an abundant number, since it is smaller than the sum of its proper divisors (43318200).

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

20293800 is a wasteful number, since it uses less digits than its factorization.

20293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20293800 is about 4504.8640379039. The cubic root of 20293800 is about 272.7644656347.

The spelling of 20293800 in words is "twenty million, two hundred ninety-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 149 150 200 227 298 300 447 454 596 600 681 745 894 908 1135 1192 1362 1490 1788 1816 2235 2270 2724 2980 3405 3576 3725 4470 4540 5448 5675 5960 6810 7450 8940 9080 11175 11350 13620 14900 17025 17880 22350 22700 27240 29800 33823 34050 44700 45400 67646 68100 89400 101469 135292 136200 169115 202938 270584 338230 405876 507345 676460 811752 845575 1014690 1352920 1691150 2029380 2536725 3382300 4058760 5073450 6764600 10146900 20293800