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20305032 = 2331176913
BaseRepresentation
bin100110101110…
…1010010001000
31102012121021020
41031131102020
520144230112
62003112440
7334406226
oct115352210
942177236
1020305032
1110509520
126972720
13428c217
1429a7b16
151bb148c
hex135d488

20305032 has 32 divisors (see below), whose sum is σ = 55378080. Its totient is φ = 6152960.

The previous prime is 20305013. The next prime is 20305039. The reversal of 20305032 is 23050302.

It is a super-3 number, since 3×203050323 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20305039) 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 7 ways as a sum of consecutive naturals, for example, 38193 + ... + 38720.

It is an arithmetic number, because the mean of its divisors is an integer number (1730565).

Almost surely, 220305032 is an apocalyptic number.

20305032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20305032 is an abundant number, since it is smaller than the sum of its proper divisors (35073048).

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

20305032 is a wasteful number, since it uses less digits than its factorization.

20305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76933 (or 76929 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 20305032 is about 4506.1105179523. The cubic root of 20305032 is about 272.8147786274.

Adding to 20305032 its reverse (23050302), we get a palindrome (43355334).

The spelling of 20305032 in words is "twenty million, three hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 76913 153826 230739 307652 461478 615304 846043 922956 1692086 1845912 2538129 3384172 5076258 6768344 10152516 20305032