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20759970 = 23571121943
BaseRepresentation
bin100111100110…
…0010110100010
31110001201022210
41033030112202
520303304340
62020542550
7341312460
oct117142642
943051283
1020759970
111079a300
126b51a56
1343bb30a
142a85830
151c51180
hex13cc5a2

20759970 has 192 divisors, whose sum is σ = 67415040. Its totient is φ = 3991680.

The previous prime is 20759957. The next prime is 20760001. The reversal of 20759970 is 7995702.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482769 + ... + 482811.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 220759970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20759970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707520).

20759970 is an abundant number, since it is smaller than the sum of its proper divisors (46655070).

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

20759970 is a wasteful number, since it uses less digits than its factorization.

20759970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 20759970 is about 4556.3110078220. The cubic root of 20759970 is about 274.8372370186.

The spelling of 20759970 in words is "twenty million, seven hundred fifty-nine thousand, nine hundred seventy".