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214080 = 2635223
BaseRepresentation
bin110100010001000000
3101212122220
4310101000
523322310
64331040
71551066
oct642100
9355586
10214080
11136929
12a3a80
1376599
1458036
1543670
hex34440

214080 has 56 divisors (see below), whose sum is σ = 682752. Its totient is φ = 56832.

The previous prime is 214069. The next prime is 214087. The reversal of 214080 is 80412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (214087) by changing a digit.

214080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (12192).

2214080 is an apocalyptic number.

214080 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 214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376).

214080 is an abundant number, since it is smaller than the sum of its proper divisors (468672).

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

214080 is a wasteful number, since it uses less digits than its factorization.

214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214080 is about 462.6877997095. The cubic root of 214080 is about 59.8216928565.

Adding to 214080 its reverse (80412), we get a palindrome (294492).

The spelling of 214080 in words is "two hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 223 240 320 446 480 669 892 960 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 14272 17840 21408 26760 35680 42816 53520 71360 107040 214080