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20284830 = 234579317
BaseRepresentation
bin100110101100…
…0010110011110
31102011120120000
41031120112132
520143103310
62002435130
7334263306
oct115302636
942146500
1020284830
11104a5325
126962aa6
134282c77
1429a0606
151baa4c0
hex135859e

20284830 has 80 divisors (see below), whose sum is σ = 55408320. Its totient is φ = 5323968.

The previous prime is 20284813. The next prime is 20284841. The reversal of 20284830 is 3848202.

It is a super-2 number, since 2×202848302 = 822948656257800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20284794 and 20284803.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 63832 + ... + 64148.

It is an arithmetic number, because the mean of its divisors is an integer number (692604).

Almost surely, 220284830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20284830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704160).

20284830 is an abundant number, since it is smaller than the sum of its proper divisors (35123490).

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

20284830 is a wasteful number, since it uses less digits than its factorization.

20284830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20284830 is about 4503.8683373296. The cubic root of 20284830 is about 272.7242717852.

The spelling of 20284830 in words is "twenty million, two hundred eighty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 317 395 405 474 634 711 790 810 951 1185 1422 1585 1902 2133 2370 2853 3170 3555 4266 4755 5706 6399 7110 8559 9510 10665 12798 14265 17118 21330 25043 25677 28530 31995 42795 50086 51354 63990 75129 85590 125215 128385 150258 225387 250430 256770 375645 450774 676161 751290 1126935 1352322 2028483 2253870 3380805 4056966 6761610 10142415 20284830