Search a number
-
+
104421820 = 225171971559
BaseRepresentation
bin1100011100101…
…01100110111100
321021111011210211
412032111212330
5203212444240
614210042204
72405366536
oct616254674
9237434724
10104421820
1153a41728
122ab79364
1318831379
14dc22856
159279bea
hex63959bc

104421820 has 48 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 39087104.

The previous prime is 104421797. The next prime is 104421833. The reversal of 104421820 is 28124401.

It is a super-2 number, since 2×1044218202 = 21807832984224800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104421791 and 104421800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66201 + ... + 67759.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2104421820 is an apocalyptic number.

104421820 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 104421820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

104421820 is an abundant number, since it is smaller than the sum of its proper divisors (129091460).

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

104421820 is a wasteful number, since it uses less digits than its factorization.

104421820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 104421820 is about 10218.6995258692. The cubic root of 104421820 is about 470.9018747598.

The spelling of 104421820 in words is "one hundred four million, four hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1559 1970 3118 3349 3940 6236 6698 7795 13396 15590 16745 26503 31180 33490 53006 66980 106012 132515 265030 307123 530060 614246 1228492 1535615 3071230 5221091 6142460 10442182 20884364 26105455 52210910 104421820