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20123712 = 2632722331
BaseRepresentation
bin100110011000…
…1000001000000
31101212101112200
41030301001000
520122424322
61555153200
7333022500
oct114610100
941771480
1020123712
11103a5274
1268a5800
13422782b
14295ba00
151b778ac
hex1331040

20123712 has 252 divisors, whose sum is σ = 72274176. Its totient is φ = 5322240.

The previous prime is 20123707. The next prime is 20123713. The reversal of 20123712 is 21732102.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20123713) 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 35 ways as a sum of consecutive naturals, for example, 649137 + ... + 649167.

Almost surely, 220123712 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 20123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137088).

20123712 is an abundant number, since it is smaller than the sum of its proper divisors (52150464).

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

20123712 is a wasteful number, since it uses less digits than its factorization.

20123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20123712 is about 4485.9460540671. The cubic root of 20123712 is about 272.0002883503. Note that the first 3 decimals are identical.

Adding to 20123712 its reverse (21732102), we get a palindrome (41855814).

The spelling of 20123712 in words is "twenty million, one hundred twenty-three thousand, seven hundred twelve".