Search a number
-
+
20388627 = 3271719037
BaseRepresentation
bin100110111000…
…1101100010011
31102100211221100
41031301230103
520204414002
62004555443
7335205030
oct115615423
942324840
1020388627
1110566306
1269b2b83
1342bb29c
1429ca387
151bcb11c
hex1371b13

20388627 has 24 divisors (see below), whose sum is σ = 35639136. Its totient is φ = 10964736.

The previous prime is 20388583. The next prime is 20388727. The reversal of 20388627 is 72688302.

It is a happy number.

20388627 is a `hidden beast` number, since 20 + 3 + 8 + 8 + 627 = 666.

It is not a de Polignac number, because 20388627 - 28 = 20388371 is a prime.

It is a super-2 number, since 2×203886272 = 831392221890258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20388591 and 20388600.

It is not an unprimeable number, because it can be changed into a prime (20388127) 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 23 ways as a sum of consecutive naturals, for example, 8448 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (1484964).

Almost surely, 220388627 is an apocalyptic number.

20388627 is a deficient number, since it is larger than the sum of its proper divisors (15250509).

20388627 is a wasteful number, since it uses less digits than its factorization.

20388627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067 (or 19064 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20388627 is about 4515.3767284691. The cubic root of 20388627 is about 273.1886551742.

The spelling of 20388627 in words is "twenty million, three hundred eighty-eight thousand, six hundred twenty-seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 19037 57111 133259 171333 323629 399777 970887 1199331 2265403 2912661 6796209 20388627