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216160 = 2557193
BaseRepresentation
bin110100110001100000
3101222111221
4310301200
523404120
64344424
71560130
oct646140
9358457
10216160
1113844a
12a5114
1377509
1458ac0
15440aa
hex34c60

216160 has 48 divisors (see below), whose sum is σ = 586656. Its totient is φ = 73728.

The previous prime is 216157. The next prime is 216173. The reversal of 216160 is 61612.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 1024 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (12222).

2216160 is an apocalyptic number.

216160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293328).

216160 is an abundant number, since it is smaller than the sum of its proper divisors (370496).

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

216160 is a wasteful number, since it uses less digits than its factorization.

216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 216160 is about 464.9301022734. The cubic root of 216160 is about 60.0148111583.

Adding to 216160 its reverse (61612), we get a palindrome (277772).

The spelling of 216160 in words is "two hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 193 224 280 386 560 772 965 1120 1351 1544 1930 2702 3088 3860 5404 6176 6755 7720 10808 13510 15440 21616 27020 30880 43232 54040 108080 216160