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20353024 = 2124969
BaseRepresentation
bin100110110100…
…1000000000000
31102022001002201
41031221000000
520202244044
62004122544
7334666156
oct115510000
942261081
1020353024
111054158a
126996454
1342a8013
1429bb3d6
151bc07d4
hex1369000

20353024 has 26 divisors (see below), whose sum is σ = 40709270. Its totient is φ = 10174464.

The previous prime is 20352991. The next prime is 20353027. The reversal of 20353024 is 42035302.

It can be written as a sum of positive squares in only one way, i.e., 14745600 + 5607424 = 3840^2 + 2368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20352992 and 20353010.

It is not an unprimeable number, because it can be changed into a prime (20353027) 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 as a sum of consecutive naturals, namely, 1612 + ... + 6580.

Almost surely, 220353024 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 20353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354635).

20353024 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

20353024 is an frugal number, since it uses more digits than its factorization.

20353024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 20353024 is about 4511.4325884357. The cubic root of 20353024 is about 273.0295468206.

Adding to 20353024 its reverse (42035302), we get a palindrome (62388326).

The spelling of 20353024 in words is "twenty million, three hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4969 9938 19876 39752 79504 159008 318016 636032 1272064 2544128 5088256 10176512 20353024