Search a number
-
+
214360 = 23523233
BaseRepresentation
bin110100010101011000
3101220001021
4310111120
523324420
64332224
71551646
oct642530
9356037
10214360
11137063
12a4074
1376753
1458196
15437aa
hex34558

214360 has 32 divisors (see below), whose sum is σ = 505440. Its totient is φ = 81664.

The previous prime is 214351. The next prime is 214363. The reversal of 214360 is 63412.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2214360 is an apocalyptic number.

214360 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 214360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720).

214360 is an abundant number, since it is smaller than the sum of its proper divisors (291080).

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

214360 is a wasteful number, since it uses less digits than its factorization.

214360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 214360 is about 462.9902806755. The cubic root of 214360 is about 59.8477622024.

Adding to 214360 its reverse (63412), we get a palindrome (277772).

The spelling of 214360 in words is "two hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 233 460 466 920 932 1165 1864 2330 4660 5359 9320 10718 21436 26795 42872 53590 107180 214360