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104837040 = 243257113161
BaseRepresentation
bin1100011111110…
…10111110110000
321022021021101100
412033322332300
5203314241130
614223004400
72412046230
oct617727660
9238237340
10104837040
11541a5690
122b139700
1318948369
14dccdcc0
15930cc60
hex63fafb0

104837040 has 480 divisors, whose sum is σ = 460541952. Its totient is φ = 20736000.

The previous prime is 104837023. The next prime is 104837077. The reversal of 104837040 is 40738401.

It is a junction number, because it is equal to n+sod(n) for n = 104836995 and 104837013.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1718610 + ... + 1718670.

Almost surely, 2104837040 is an apocalyptic number.

104837040 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 104837040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230270976).

104837040 is an abundant number, since it is smaller than the sum of its proper divisors (355704912).

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

104837040 is a wasteful number, since it uses less digits than its factorization.

104837040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104837040 is about 10238.9960445348. The cubic root of 104837040 is about 471.5252096260.

The spelling of 104837040 in words is "one hundred four million, eight hundred thirty-seven thousand, forty".