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21120160 = 255132001
BaseRepresentation
bin101000010010…
…0010010100000
31110202000102011
41100210102200
520401321120
62032402304
7344342545
oct120442240
943660364
1021120160
1110a15986
1270a6394
1344b6249
142b3abcc
151cc2c5a
hex14244a0

21120160 has 24 divisors (see below), whose sum is σ = 49896756. Its totient is φ = 8448000.

The previous prime is 21120139. The next prime is 21120163. The reversal of 21120160 is 6102112.

It can be written as a sum of positive squares in 2 ways, for example, as 20394256 + 725904 = 4516^2 + 852^2 .

It is a super-2 number, since 2×211201602 = 892122316851200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21120160.

It is not an unprimeable number, because it can be changed into a prime (21120163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65841 + ... + 66160.

Almost surely, 221120160 is an apocalyptic number.

21120160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120160 is an abundant number, since it is smaller than the sum of its proper divisors (28776596).

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

21120160 is a wasteful number, since it uses less digits than its factorization.

21120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132016 (or 132008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 21120160 is about 4595.6675249630. The cubic root of 21120160 is about 276.4176272212.

Adding to 21120160 its reverse (6102112), we get a palindrome (27222272).

The spelling of 21120160 in words is "twenty-one million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 132001 264002 528004 660005 1056008 1320010 2112016 2640020 4224032 5280040 10560080 21120160