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84216 = 23311229
BaseRepresentation
bin10100100011111000
311021112010
4110203320
510143331
61445520
7500346
oct244370
9137463
1084216
1158300
12408a0
132c442
1422996
1519e46
hex148f8

84216 has 48 divisors (see below), whose sum is σ = 239400. Its totient is φ = 24640.

The previous prime is 84211. The next prime is 84221. The reversal of 84216 is 61248.

It can be divided in two parts, 842 and 16, that added together give a palindrome (858).

It is an interprime number because it is at equal distance from previous prime (84211) and next prime (84221).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 84192 and 84201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84211) by changing a digit.

84216 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, 2890 + ... + 2918.

284216 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 84216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119700).

84216 is an abundant number, since it is smaller than the sum of its proper divisors (155184).

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

84216 is a wasteful number, since it uses less digits than its factorization.

84216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 84216 is about 290.1999310820. The cubic root of 84216 is about 43.8326980042.

The spelling of 84216 in words is "eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 132 174 232 242 264 319 348 363 484 638 696 726 957 968 1276 1452 1914 2552 2904 3509 3828 7018 7656 10527 14036 21054 28072 42108 84216