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104205024 = 253271137127
BaseRepresentation
bin1100011011000…
…00101011100000
321021002011102100
412031200223200
5203134030044
614201250400
72403504510
oct615405340
9237064370
10104205024
1153903860
122aa93a00
13187867a1
14dba7840
159235869
hex6360ae0

104205024 has 288 divisors, whose sum is σ = 382427136. Its totient is φ = 26127360.

The previous prime is 104205011. The next prime is 104205083. The reversal of 104205024 is 420502401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104204988 and 104205006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820449 + ... + 820575.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 2104205024 is an apocalyptic number.

104205024 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 104205024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

104205024 is an abundant number, since it is smaller than the sum of its proper divisors (278222112).

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

104205024 is a wasteful number, since it uses less digits than its factorization.

104205024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104205024 is about 10208.0862065325. The cubic root of 104205024 is about 470.5757603654.

Adding to 104205024 its reverse (420502401), we get a palindrome (524707425).

The spelling of 104205024 in words is "one hundred four million, two hundred five thousand, twenty-four".