Search a number
-
+
27363132 = 22321744711
BaseRepresentation
bin110100001100…
…0011100111100
31220111012011100
41220120130330
524001110012
62414253100
7451403616
oct150303474
956435140
1027363132
111449a365
1291b7190
135890a04
1438c3db6
1526078dc
hex1a1873c

27363132 has 36 divisors (see below), whose sum is σ = 73238256. Its totient is φ = 8584320.

The previous prime is 27363131. The next prime is 27363157. The reversal of 27363132 is 23136372.

27363132 is a `hidden beast` number, since 27 + 3 + 631 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 27363096 and 27363105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27363131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21744 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (2034396).

Almost surely, 227363132 is an apocalyptic number.

It is an amenable number.

27363132 is an abundant number, since it is smaller than the sum of its proper divisors (45875124).

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

27363132 is a wasteful number, since it uses less digits than its factorization.

27363132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44738 (or 44733 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 27363132 is about 5230.9781112140. The cubic root of 27363132 is about 301.3389484992.

It can be divided in two parts, 27363 and 132, that added together give a triangular number (27495 = T234).

The spelling of 27363132 in words is "twenty-seven million, three hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 44711 89422 134133 178844 268266 402399 536532 760087 804798 1520174 1609596 2280261 3040348 4560522 6840783 9121044 13681566 27363132