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270216 = 2335139
BaseRepresentation
bin1000001111110001000
3111201200000
41001332020
532121331
65443000
72203542
oct1017610
9451600
10270216
11175021
12110460
1395cbb
1470692
15550e6
hex41f88

270216 has 48 divisors (see below), whose sum is σ = 764400. Its totient is φ = 89424.

The previous prime is 270209. The next prime is 270217. The reversal of 270216 is 612072.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270216.

It is not an unprimeable number, because it can be changed into a prime (270217) by changing a digit.

270216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1875 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (15925).

2270216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382200).

270216 is an abundant number, since it is smaller than the sum of its proper divisors (494184).

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

270216 is a wasteful number, since it uses less digits than its factorization.

270216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

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

The square root of 270216 is about 519.8230468150. The cubic root of 270216 is about 64.6502715844.

Adding to 270216 its reverse (612072), we get a palindrome (882288).

The spelling of 270216 in words is "two hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 243 278 324 417 486 556 648 834 972 1112 1251 1668 1944 2502 3336 3753 5004 7506 10008 11259 15012 22518 30024 33777 45036 67554 90072 135108 270216