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20746368 = 27352329
BaseRepresentation
bin100111100100…
…1000010000000
31110001000200000
41033021002000
520302340433
62020400000
7341225016
oct117110200
943030600
1020746368
1110790065
126b46000
1343b5076
142a808b6
151c4c113
hex13c9080

20746368 has 192 divisors, whose sum is σ = 66830400. Its totient is φ = 6386688.

The previous prime is 20746367. The next prime is 20746379. The reversal of 20746368 is 86364702.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20746367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715378 + ... + 715406.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 220746368 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 20746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20746368 is an abundant number, since it is smaller than the sum of its proper divisors (46084032).

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

20746368 is an equidigital number, since it uses as much as digits as its factorization.

20746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20746368 is about 4554.8181083332. The cubic root of 20746368 is about 274.7771991532. Note that the first 3 decimals are identical.

The spelling of 20746368 in words is "twenty million, seven hundred forty-six thousand, three hundred sixty-eight".