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20766940 = 2253313137
BaseRepresentation
bin100111100111…
…0000011011100
31110002001212221
41033032003130
520304020230
62021035124
7341342005
oct117160334
943061787
1020766940
11107a4567
126b55aa4
1343c153c
142a881ac
151c5327a
hex13ce0dc

20766940 has 24 divisors (see below), whose sum is σ = 43756272. Its totient is φ = 8279040.

The previous prime is 20766919. The next prime is 20766947. The reversal of 20766940 is 4966702.

It is a junction number, because it is equal to n+sod(n) for n = 20766896 and 20766905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20766947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052 + ... + 8188.

It is an arithmetic number, because the mean of its divisors is an integer number (1823178).

Almost surely, 220766940 is an apocalyptic number.

20766940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20766940 is an abundant number, since it is smaller than the sum of its proper divisors (22989332).

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

20766940 is a wasteful number, since it uses less digits than its factorization.

20766940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 20766940 is about 4557.0758167930. The cubic root of 20766940 is about 274.8679917386.

The spelling of 20766940 in words is "twenty million, seven hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 331 662 1324 1655 3137 3310 6274 6620 12548 15685 31370 62740 1038347 2076694 4153388 5191735 10383470 20766940