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104141320 = 23517295281
BaseRepresentation
bin1100011010100…
…01001000001000
321020221221000221
412031101020020
5203130010240
614200035424
72403121003
oct615211010
9236857027
10104141320
115386aa08
122aa62b74
13187637aa
14db8c53a
159221a4a
hex6351208

104141320 has 64 divisors (see below), whose sum is σ = 256705200. Its totient is φ = 37847040.

The previous prime is 104141287. The next prime is 104141327. The reversal of 104141320 is 23141401.

It can be written as a sum of positive squares in 8 ways, for example, as 39917124 + 64224196 = 6318^2 + 8014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104141294 and 104141303.

It is not an unprimeable number, because it can be changed into a prime (104141327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17080 + ... + 22360.

Almost surely, 2104141320 is an apocalyptic number.

104141320 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 104141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128352600).

104141320 is an abundant number, since it is smaller than the sum of its proper divisors (152563880).

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

104141320 is a wasteful number, since it uses less digits than its factorization.

104141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104141320 is about 10204.9654580503. The cubic root of 104141320 is about 470.4798479422.

Adding to 104141320 its reverse (23141401), we get a palindrome (127282721).

The spelling of 104141320 in words is "one hundred four million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 5281 9860 10562 19720 21124 26405 42248 52810 89777 105620 153149 179554 211240 306298 359108 448885 612596 718216 765745 897770 1225192 1531490 1795540 2603533 3062980 3591080 5207066 6125960 10414132 13017665 20828264 26035330 52070660 104141320