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20754720 = 2532572971
BaseRepresentation
bin100111100101…
…1000100100000
31110001110010100
41033023010200
520303122340
62020502400
7341261250
oct117130440
943043110
1020754720
1110796368
126b4aa00
1343b8acc
142a83960
151c4e830
hex13cb120

20754720 has 288 divisors, whose sum is σ = 84913920. Its totient is φ = 4515840.

The previous prime is 20754719. The next prime is 20754737. The reversal of 20754720 is 2745702.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292285 + ... + 292355.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 220754720 is an apocalyptic number.

20754720 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 20754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

20754720 is an abundant number, since it is smaller than the sum of its proper divisors (64159200).

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

20754720 is a wasteful number, since it uses less digits than its factorization.

20754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20754720 is about 4555.7348474203. The cubic root of 20754720 is about 274.8140671530.

The spelling of 20754720 in words is "twenty million, seven hundred fifty-four thousand, seven hundred twenty".