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20733120 = 2632523313
BaseRepresentation
bin100111100010…
…1110011000000
31110000100111100
41033011303000
520301424440
62020214400
7341141262
oct117056300
943010440
1020733120
1110781111
126b3a400
1343ac025
142a79b32
151c48230
hex13c5cc0

20733120 has 168 divisors, whose sum is σ = 74651616. Its totient is φ = 5271552.

The previous prime is 20733109. The next prime is 20733121. The reversal of 20733120 is 2133702.

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

It is a junction number, because it is equal to n+sod(n) for n = 20733093 and 20733102.

It is not an unprimeable number, because it can be changed into a prime (20733121) 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 23 ways as a sum of consecutive naturals, for example, 66084 + ... + 66396.

Almost surely, 220733120 is an apocalyptic number.

20733120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37325808).

20733120 is an abundant number, since it is smaller than the sum of its proper divisors (53918496).

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

20733120 is a wasteful number, since it uses less digits than its factorization.

20733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20733120 is about 4553.3635918956. The cubic root of 20733120 is about 274.7186985768.

Adding to 20733120 its reverse (2133702), we get a palindrome (22866822).

The spelling of 20733120 in words is "twenty million, seven hundred thirty-three thousand, one hundred twenty".