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216027 = 357127
BaseRepresentation
bin110100101111011011
3101222100000
4310233123
523403102
64344043
71556550
oct645733
9358300
10216027
11138339
12a5023
1377436
1458a27
154401c
hex34bdb

216027 has 24 divisors (see below), whose sum is σ = 372736. Its totient is φ = 122472.

The previous prime is 216023. The next prime is 216037. The reversal of 216027 is 720612.

It is a happy number.

It is not a de Polignac number, because 216027 - 22 = 216023 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 216027 = 33 + 603 = 223 + 593.

216027 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216027.

It is not an unprimeable number, because it can be changed into a prime (216023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638 + ... + 1764.

216027 is a Friedman number, since it can be written as 60^(2+1)+27, using all its digits and the basic arithmetic operations.

2216027 is an apocalyptic number.

216027 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216027 is a deficient number, since it is larger than the sum of its proper divisors (156709).

216027 is an equidigital number, since it uses as much as digits as its factorization.

216027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 216027 is about 464.7870480123. The cubic root of 216027 is about 60.0024998958.

Adding to 216027 its reverse (720612), we get a palindrome (936639).

It can be divided in two parts, 21602 and 7, that added together give a square (21609 = 1472).

The spelling of 216027 in words is "two hundred sixteen thousand, twenty-seven".

Divisors: 1 3 7 9 21 27 63 81 127 189 243 381 567 889 1143 1701 2667 3429 8001 10287 24003 30861 72009 216027