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216876 = 223113153
BaseRepresentation
bin110100111100101100
3102000111110
4310330230
523420001
64352020
71562202
oct647454
9360443
10216876
11138a40
12a5610
137793a
1459072
15443d6
hex34f2c

216876 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 62400.

The previous prime is 216859. The next prime is 216877. The reversal of 216876 is 678612.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (216877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4066 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2216876 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 216876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

216876 is an abundant number, since it is smaller than the sum of its proper divisors (363732).

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

216876 is a wasteful number, since it uses less digits than its factorization.

216876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 216876 is about 465.6994739099. The cubic root of 216876 is about 60.0810017073.

The spelling of 216876 in words is "two hundred sixteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 53 62 66 93 106 124 132 159 186 212 318 341 372 583 636 682 1023 1166 1364 1643 1749 2046 2332 3286 3498 4092 4929 6572 6996 9858 18073 19716 36146 54219 72292 108438 216876