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20940192 = 25327131747
BaseRepresentation
bin100111111100…
…0010110100000
31110101212112200
41033320112200
520330041232
62024453200
7342663060
oct117702640
943355480
1020940192
1110902749
12701a200
134452360
142ad13a0
151c8977c
hex13f85a0

20940192 has 288 divisors, whose sum is σ = 79252992. Its totient is φ = 5087232.

The previous prime is 20940191. The next prime is 20940193. The reversal of 20940192 is 29104902.

It is an interprime number because it is at equal distance from previous prime (20940191) and next prime (20940193).

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

It is not an unprimeable number, because it can be changed into a prime (20940191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445513 + ... + 445559.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 220940192 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 20940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

20940192 is an abundant number, since it is smaller than the sum of its proper divisors (58312800).

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

20940192 is a wasteful number, since it uses less digits than its factorization.

20940192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20940192 is about 4576.0454543197. The cubic root of 20940192 is about 275.6302547319.

It can be divided in two parts, 209 and 40192, that added together give a square (40401 = 2012).

The spelling of 20940192 in words is "twenty million, nine hundred forty thousand, one hundred ninety-two".