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104305800 = 23352263661
BaseRepresentation
bin1100011011110…
…01010010001000
321021021021122210
412031321102020
5203200241200
614203345120
72404404354
oct615712210
9237237583
10104305800
1153972545
122ab221a0
13187c0611
14dbd2464
159255650
hex6379488

104305800 has 96 divisors (see below), whose sum is σ = 325068480. Its totient is φ = 27667200.

The previous prime is 104305783. The next prime is 104305813. The reversal of 104305800 is 8503401.

It is a super-3 number, since 3×1043058003 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157470 + ... + 158130.

It is an arithmetic number, because the mean of its divisors is an integer number (3386130).

Almost surely, 2104305800 is an apocalyptic number.

104305800 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 104305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162534240).

104305800 is an abundant number, since it is smaller than the sum of its proper divisors (220762680).

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

104305800 is a wasteful number, since it uses less digits than its factorization.

104305800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 104305800 is about 10213.0211005363. The cubic root of 104305800 is about 470.7274084076.

The spelling of 104305800 in words is "one hundred four million, three hundred five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 263 300 526 600 661 789 1052 1315 1322 1578 1983 2104 2630 2644 3156 3305 3945 3966 5260 5288 6312 6575 6610 7890 7932 9915 10520 13150 13220 15780 15864 16525 19725 19830 26300 26440 31560 33050 39450 39660 49575 52600 66100 78900 79320 99150 132200 157800 173843 198300 347686 396600 521529 695372 869215 1043058 1390744 1738430 2086116 2607645 3476860 4172232 4346075 5215290 6953720 8692150 10430580 13038225 17384300 20861160 26076450 34768600 52152900 104305800