Search a number
-
+
104421200 = 24521343467
BaseRepresentation
bin1100011100101…
…01011101010000
321021111010221212
412032111131100
5203212434300
614210035252
72405364662
oct616253520
9237433855
10104421200
1153a41214
122ab78b28
1318830cc0
14dc22532
159279935
hex6395750

104421200 has 120 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 37578240.

The previous prime is 104421197. The next prime is 104421217. The reversal of 104421200 is 2124401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223367 + ... + 223833.

Almost surely, 2104421200 is an apocalyptic number.

104421200 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 104421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

104421200 is an abundant number, since it is smaller than the sum of its proper divisors (172623568).

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

104421200 is a wasteful number, since it uses less digits than its factorization.

104421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104421200 is about 10218.6691892829. The cubic root of 104421200 is about 470.9009427715.

Adding to 104421200 its reverse (2124401), we get a palindrome (106545601).

The spelling of 104421200 in words is "one hundred four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 43 50 52 65 80 86 100 104 130 172 200 208 215 260 325 344 400 430 467 520 559 650 688 860 934 1040 1075 1118 1300 1720 1868 2150 2236 2335 2600 2795 3440 3736 4300 4472 4670 5200 5590 6071 7472 8600 8944 9340 11180 11675 12142 13975 17200 18680 20081 22360 23350 24284 27950 30355 37360 40162 44720 46700 48568 55900 60710 80324 93400 97136 100405 111800 121420 151775 160648 186800 200810 223600 242840 261053 303550 321296 401620 485680 502025 522106 607100 803240 1004050 1044212 1214200 1305265 1606480 2008100 2088424 2428400 2610530 4016200 4176848 5221060 6526325 8032400 10442120 13052650 20884240 26105300 52210600 104421200