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21117627 = 3210721929
BaseRepresentation
bin101000010001…
…1101010111011
31110201212221100
41100203222323
520401231002
62032342443
7344332266
oct120435273
943655840
1021117627
1110a13a93
1270a4a23
1344b504b
142b39cdd
151cc211c
hex1423abb

21117627 has 12 divisors (see below), whose sum is σ = 30789720. Its totient is φ = 13946208.

The previous prime is 21117563. The next prime is 21117631. The reversal of 21117627 is 72671112.

21117627 is a `hidden beast` number, since 21 + 1 + 17 + 627 = 666.

It is not a de Polignac number, because 21117627 - 26 = 21117563 is a prime.

It is a super-2 number, since 2×211176272 = 891908340222258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21117627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21117647) 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 11 ways as a sum of consecutive naturals, for example, 10002 + ... + 11927.

It is an arithmetic number, because the mean of its divisors is an integer number (2565810).

Almost surely, 221117627 is an apocalyptic number.

21117627 is a deficient number, since it is larger than the sum of its proper divisors (9672093).

21117627 is a wasteful number, since it uses less digits than its factorization.

21117627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042 (or 22039 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 21117627 is about 4595.3919310544. The cubic root of 21117627 is about 276.4065762658.

Adding to 21117627 its reverse (72671112), we get a palindrome (93788739).

The spelling of 21117627 in words is "twenty-one million, one hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 3 9 107 321 963 21929 65787 197361 2346403 7039209 21117627