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104422400 = 210524079
BaseRepresentation
bin1100011100101…
…01110000000000
321021111012121022
412032111300000
5203213004100
614210045012
72405401325
oct616256000
9237435538
10104422400
1153a42105
122ab79768
1318831704
14dc22b4c
159279e85
hex6395c00

104422400 has 66 divisors (see below), whose sum is σ = 258904560. Its totient is φ = 41758720.

The previous prime is 104422393. The next prime is 104422403. The reversal of 104422400 is 4224401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104422403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23561 + ... + 27639.

Almost surely, 2104422400 is an apocalyptic number.

104422400 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 104422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129452280).

104422400 is an abundant number, since it is smaller than the sum of its proper divisors (154482160).

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

104422400 is an equidigital number, since it uses as much as digits as its factorization.

104422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 104422400 is about 10218.7279051749. The cubic root of 104422400 is about 470.9027466165.

Adding to 104422400 its reverse (4224401), we get a palindrome (108646801).

The spelling of 104422400 in words is "one hundred four million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 4079 5120 6400 8158 12800 16316 20395 25600 32632 40790 65264 81580 101975 130528 163160 203950 261056 326320 407900 522112 652640 815800 1044224 1305280 1631600 2088448 2610560 3263200 4176896 5221120 6526400 10442240 13052800 20884480 26105600 52211200 104422400