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104854300 = 225217371667
BaseRepresentation
bin1100011111111…
…11001100011100
321022022011001121
412033333030130
5203320314200
614223220324
72412150445
oct617771434
9238264047
10104854300
1154207651
122b1476a4
1318953185
14dcd62cc
159312e1a
hex63ff31c

104854300 has 72 divisors (see below), whose sum is σ = 247577904. Its totient is φ = 38384640.

The previous prime is 104854297. The next prime is 104854301. The reversal of 104854300 is 3458401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104854301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62067 + ... + 63733.

It is an arithmetic number, because the mean of its divisors is an integer number (3438582).

Almost surely, 2104854300 is an apocalyptic number.

104854300 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 104854300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123788952).

104854300 is an abundant number, since it is smaller than the sum of its proper divisors (142723604).

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

104854300 is a wasteful number, since it uses less digits than its factorization.

104854300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 104854300 is about 10239.8388659197. The cubic root of 104854300 is about 471.5510849544.

The spelling of 104854300 in words is "one hundred four million, eight hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 850 925 1258 1667 1700 1850 2516 3145 3334 3700 6290 6668 8335 12580 15725 16670 28339 31450 33340 41675 56678 61679 62900 83350 113356 123358 141695 166700 246716 283390 308395 566780 616790 708475 1048543 1233580 1416950 1541975 2097086 2833900 3083950 4194172 5242715 6167900 10485430 20970860 26213575 52427150 104854300