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104300224 = 267279421
BaseRepresentation
bin1100011011101…
…11111011000000
321021021000000021
412031313323000
5203200101344
614203303224
72404352200
oct615677300
9237230007
10104300224
1153969336
122ab1ab14
13187bac12
14dbd0400
159253b84
hex6377ec0

104300224 has 84 divisors (see below), whose sum is σ = 244388640. Its totient is φ = 44029440.

The previous prime is 104300201. The next prime is 104300227. The reversal of 104300224 is 422003401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 104300198 and 104300207.

It is not an unprimeable number, because it can be changed into a prime (104300227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247534 + ... + 247954.

Almost surely, 2104300224 is an apocalyptic number.

104300224 is a gapful number since it is divisible by the number (14) 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 104300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122194320).

104300224 is an abundant number, since it is smaller than the sum of its proper divisors (140088416).

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

104300224 is an equidigital number, since it uses as much as digits as its factorization.

104300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104300224 is about 10212.7481120411. The cubic root of 104300224 is about 470.7190201786.

Adding to 104300224 its reverse (422003401), we get a palindrome (526303625).

The spelling of 104300224 in words is "one hundred four million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 158 196 224 316 392 421 448 553 632 784 842 1106 1264 1568 1684 2212 2528 2947 3136 3368 3871 4424 5056 5894 6736 7742 8848 11788 13472 15484 17696 20629 23576 26944 30968 33259 35392 41258 47152 61936 66518 82516 94304 123872 133036 165032 188608 232813 247744 266072 330064 465626 532144 660128 931252 1064288 1320256 1629691 1862504 2128576 3259382 3725008 6518764 7450016 13037528 14900032 26075056 52150112 104300224