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104320 = 275163
BaseRepresentation
bin11001011110000000
312022002201
4121132000
511314240
62122544
7613066
oct313600
9168081
10104320
1171417
1250454
1338638
142a036
1520d9a
hex19780

104320 has 32 divisors (see below), whose sum is σ = 250920. Its totient is φ = 41472.

The previous prime is 104311. The next prime is 104323. The reversal of 104320 is 23401.

104320 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 104297 and 104306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104323) by changing a digit.

104320 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559 + ... + 721.

2104320 is an apocalyptic number.

104320 is a gapful number since it is divisible by the number (10) 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 104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125460).

104320 is an abundant number, since it is smaller than the sum of its proper divisors (146600).

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

104320 is an equidigital number, since it uses as much as digits as its factorization.

104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 104320 is about 322.9860678110. The cubic root of 104320 is about 47.0748768760.

Adding to 104320 its reverse (23401), we get a palindrome (127721).

It can be divided in two parts, 104 and 320, that added together give a palindrome (424).

The spelling of 104320 in words is "one hundred four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 815 1304 1630 2608 3260 5216 6520 10432 13040 20864 26080 52160 104320