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20766114 = 232672257
BaseRepresentation
bin100111100110…
…1110110100010
31110002000202100
41033031312202
520304003424
62021031230
7341336415
oct117156642
943060670
1020766114
11107a3986
126b55516
1343c1055
142a87b7c
151c52dc9
hex13cdda2

20766114 has 36 divisors (see below), whose sum is σ = 45852534. Its totient is φ = 6792192.

The previous prime is 20766113. The next prime is 20766121. The reversal of 20766114 is 41166702.

It can be written as a sum of positive squares in only one way, i.e., 11675889 + 9090225 = 3417^2 + 3015^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20766113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80674 + ... + 80930.

Almost surely, 220766114 is an apocalyptic number.

20766114 is an abundant number, since it is smaller than the sum of its proper divisors (25086420).

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

20766114 is a wasteful number, since it uses less digits than its factorization.

20766114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20766114 is about 4556.9851875994. The cubic root of 20766114 is about 274.8643474211.

The spelling of 20766114 in words is "twenty million, seven hundred sixty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 67 134 201 257 402 514 603 771 1206 1542 2313 4489 4626 8978 13467 17219 26934 34438 40401 51657 80802 103314 154971 309942 1153673 2307346 3461019 6922038 10383057 20766114