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20284980 = 22352331451
BaseRepresentation
bin100110101100…
…0011000110100
31102011120202120
41031120120310
520143104410
62002435540
7334263612
oct115303064
942146676
1020284980
11104a5451
126962bb0
134283061
1429a06b2
151baa570
hex1358634

20284980 has 48 divisors (see below), whose sum is σ = 57081024. Its totient is φ = 5382400.

The previous prime is 20284973. The next prime is 20284981. The reversal of 20284980 is 8948202.

It is a super-2 number, since 2×202849802 = 822960827200800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284981) 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 15 ways as a sum of consecutive naturals, for example, 13255 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 220284980 is an apocalyptic number.

20284980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20284980 is an abundant number, since it is smaller than the sum of its proper divisors (36796044).

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

20284980 is a wasteful number, since it uses less digits than its factorization.

20284980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20284980 is about 4503.8849896506. The cubic root of 20284980 is about 272.7249440205.

The spelling of 20284980 in words is "twenty million, two hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 233 466 699 932 1165 1398 1451 2330 2796 2902 3495 4353 4660 5804 6990 7255 8706 13980 14510 17412 21765 29020 43530 87060 338083 676166 1014249 1352332 1690415 2028498 3380830 4056996 5071245 6761660 10142490 20284980