Search a number
-
+
27684920 = 2352273049
BaseRepresentation
bin110100110011…
…1000000111000
31221002112120102
41221213000320
524041404140
62425214532
7454214024
oct151470070
957075512
1027684920
111469a0aa
129331448
135974313
143969384
15266ce15
hex1a67038

27684920 has 32 divisors (see below), whose sum is σ = 62586000. Its totient is φ = 11021568.

The previous prime is 27684913. The next prime is 27684929. The reversal of 27684920 is 2948672.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27684929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7556 + ... + 10604.

Almost surely, 227684920 is an apocalyptic number.

27684920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27684920 is an abundant number, since it is smaller than the sum of its proper divisors (34901080).

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

27684920 is a wasteful number, since it uses less digits than its factorization.

27684920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 27684920 is about 5261.6461302524. The cubic root of 27684920 is about 302.5155878405.

The spelling of 27684920 in words is "twenty-seven million, six hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 227 454 908 1135 1816 2270 3049 4540 6098 9080 12196 15245 24392 30490 60980 121960 692123 1384246 2768492 3460615 5536984 6921230 13842460 27684920