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214104 = 23311811
BaseRepresentation
bin110100010001011000
3101212200210
4310101120
523322404
64331120
71551132
oct642130
9355623
10214104
11136950
12a3aa0
13765b7
1458052
1543689
hex34458

214104 has 32 divisors (see below), whose sum is σ = 584640. Its totient is φ = 64800.

The previous prime is 214091. The next prime is 214129. The reversal of 214104 is 401412.

214104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 214104.

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, 142 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2214104 is an apocalyptic number.

214104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214104 is an abundant number, since it is smaller than the sum of its proper divisors (370536).

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

214104 is a wasteful number, since it uses less digits than its factorization.

214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214104 is about 462.7137343974. The cubic root of 214104 is about 59.8239282622.

Adding to 214104 its reverse (401412), we get a palindrome (615516).

The spelling of 214104 in words is "two hundred fourteen thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 811 1622 2433 3244 4866 6488 8921 9732 17842 19464 26763 35684 53526 71368 107052 214104