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20280096 = 2532671051
BaseRepresentation
bin100110101011…
…1001100100000
31102011100001200
41031113030200
520142430341
62002401200
7334243434
oct115271440
942140050
1020280096
11104a1811
126960200
134280a75
14299c9c4
151ba8db6
hex1357320

20280096 has 72 divisors (see below), whose sum is σ = 58587984. Its totient is φ = 6652800.

The previous prime is 20280067. The next prime is 20280101. The reversal of 20280096 is 69008202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×202800962 = 822564587538432, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 18771 + ... + 19821.

It is an arithmetic number, because the mean of its divisors is an integer number (813722).

Almost surely, 220280096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293992).

20280096 is an abundant number, since it is smaller than the sum of its proper divisors (38307888).

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

20280096 is a wasteful number, since it uses less digits than its factorization.

20280096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20280096 is about 4503.3427584407. The cubic root of 20280096 is about 272.7030543343.

Adding to 20280096 its reverse (69008202), we get a palindrome (89288298).

The spelling of 20280096 in words is "twenty million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1051 1072 1206 1608 2102 2144 2412 3153 3216 4204 4824 6306 6432 8408 9459 9648 12612 16816 18918 19296 25224 33632 37836 50448 70417 75672 100896 140834 151344 211251 281668 302688 422502 563336 633753 845004 1126672 1267506 1690008 2253344 2535012 3380016 5070024 6760032 10140048 20280096