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216104 = 23717227
BaseRepresentation
bin110100110000101000
3101222102212
4310300220
523403404
64344252
71560020
oct646050
9358385
10216104
111383a9
12a5088
1377495
1458a80
154406e
hex34c28

216104 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 86784.

The previous prime is 216103. The next prime is 216107. The reversal of 216104 is 401612.

Added to its reverse (401612) it gives a triangular number (617716 = T1111).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216104.

It is not an unprimeable number, because it can be changed into a prime (216103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2216104 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 216104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

216104 is an abundant number, since it is smaller than the sum of its proper divisors (276376).

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

216104 is a wasteful number, since it uses less digits than its factorization.

216104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 216104 is about 464.8698742659. The cubic root of 216104 is about 60.0096280845.

Adding to 216104 its reverse (401612), we get a palindrome (617716).

The spelling of 216104 in words is "two hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 227 238 454 476 908 952 1589 1816 3178 3859 6356 7718 12712 15436 27013 30872 54026 108052 216104