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20271993 = 371923472
BaseRepresentation
bin100110101010…
…1001101111001
31102010220221120
41031111031321
520142200433
62002255453
7334211010
oct115251571
942126846
1020271993
1110496715
126957589
13427a181
142999a77
151ba67b3
hex1355379

20271993 has 48 divisors (see below), whose sum is σ = 34667520. Its totient is φ = 10273824.

The previous prime is 20271983. The next prime is 20272009. The reversal of 20271993 is 39917202.

It is not a de Polignac number, because 20271993 - 25 = 20271961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20271983) 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, 431296 + ... + 431342.

It is an arithmetic number, because the mean of its divisors is an integer number (722240).

Almost surely, 220271993 is an apocalyptic number.

20271993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20271993 is a deficient number, since it is larger than the sum of its proper divisors (14395527).

20271993 is a wasteful number, since it uses less digits than its factorization.

20271993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 20271993 is about 4502.4430035260. The cubic root of 20271993 is about 272.6667296013. Note that the first 3 decimals are identical.

It can be divided in two parts, 2027199 and 3, that added together give a palindrome (2027202).

The spelling of 20271993 in words is "twenty million, two hundred seventy-one thousand, nine hundred ninety-three".

Divisors: 1 3 7 19 21 23 47 57 69 133 141 161 329 399 437 483 893 987 1081 1311 2209 2679 3059 3243 6251 6627 7567 9177 15463 18753 20539 22701 41971 46389 50807 61617 125913 143773 152421 293797 355649 431319 881391 965333 1066947 2895999 6757331 20271993