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20273814 = 2341131367
BaseRepresentation
bin100110101010…
…1101010010110
31102011000110000
41031111222112
520142230224
62002312130
7334216221
oct115255226
942130400
1020273814
1110498020
126958646
13427ac52
14299a5b8
151ba70c9
hex1355a96

20273814 has 80 divisors (see below), whose sum is σ = 51296256. Its totient is φ = 5929200.

The previous prime is 20273791. The next prime is 20273819. The reversal of 20273814 is 41837202.

It is a super-2 number, since 2×202738142 = 822055068213192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20273819) 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 39 ways as a sum of consecutive naturals, for example, 55059 + ... + 55425.

Almost surely, 220273814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20273814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648128).

20273814 is an abundant number, since it is smaller than the sum of its proper divisors (31022442).

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

20273814 is a wasteful number, since it uses less digits than its factorization.

20273814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20273814 is about 4502.6452225331. The cubic root of 20273814 is about 272.6748937591.

The spelling of 20273814 in words is "twenty million, two hundred seventy-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 367 558 594 682 734 837 891 1023 1101 1674 1782 2046 2202 2511 3069 3303 4037 5022 6138 6606 8074 9207 9909 11377 12111 18414 19818 22754 24222 27621 29727 34131 36333 55242 59454 68262 72666 102393 108999 125147 204786 217998 250294 307179 326997 375441 614358 653994 750882 921537 1126323 1843074 2252646 3378969 6757938 10136907 20273814