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20791680 = 2735721317
BaseRepresentation
bin100111101010…
…0000110000000
31110010022211020
41033110012000
520310313210
62021345440
7341504100
oct117240600
943108736
1020791680
1110811108
126b68280
1343cc890
142a93200
151c5a770
hex13d4180

20791680 has 384 divisors, whose sum is σ = 87907680. Its totient is φ = 4128768.

The previous prime is 20791657. The next prime is 20791691. The reversal of 20791680 is 8619702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1223032 + ... + 1223048.

Almost surely, 220791680 is an apocalyptic number.

20791680 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 20791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

20791680 is an abundant number, since it is smaller than the sum of its proper divisors (67116000).

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

20791680 is a wasteful number, since it uses less digits than its factorization.

20791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20791680 is about 4559.7894688242. The cubic root of 20791680 is about 274.9771000215.

The spelling of 20791680 in words is "twenty million, seven hundred ninety-one thousand, six hundred eighty".