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20742064 = 247414517
BaseRepresentation
bin100111100011…
…1111110110000
31110000210202121
41033013332300
520302221224
62020324024
7341206330
oct117077660
943023677
1020742064
1110787902
126b43614
1343b3115
142a7d0c0
151c4abe4
hex13c7fb0

20742064 has 40 divisors (see below), whose sum is σ = 47059488. Its totient is φ = 8670720.

The previous prime is 20742041. The next prime is 20742077. The reversal of 20742064 is 46024702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2334 + ... + 6850.

Almost surely, 220742064 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 20742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23529744).

20742064 is an abundant number, since it is smaller than the sum of its proper divisors (26317424).

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

20742064 is a wasteful number, since it uses less digits than its factorization.

20742064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 20742064 is about 4554.3456171002. The cubic root of 20742064 is about 274.7581962630.

Adding to 20742064 its reverse (46024702), we get a palindrome (66766766).

The spelling of 20742064 in words is "twenty million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4517 4592 9034 18068 31619 36136 63238 72272 126476 185197 252952 370394 505904 740788 1296379 1481576 2592758 2963152 5185516 10371032 20742064