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104058560 = 265433751
BaseRepresentation
bin1100011001111…
…00111011000000
321020210201111202
412030330323000
5203114333220
614154200332
72402324504
oct614747300
9236721452
10104058560
1153813811
122aa230a8
1318734c18
14db6a304
159207275
hex633cec0

104058560 has 56 divisors (see below), whose sum is σ = 248692416. Its totient is φ = 41472000.

The previous prime is 104058553. The next prime is 104058613. The reversal of 104058560 is 65850401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138185 + ... + 138935.

It is an arithmetic number, because the mean of its divisors is an integer number (4440936).

Almost surely, 2104058560 is an apocalyptic number.

104058560 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 104058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124346208).

104058560 is an abundant number, since it is smaller than the sum of its proper divisors (144633856).

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

104058560 is an equidigital number, since it uses as much as digits as its factorization.

104058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 104058560 is about 10200.9097633495. The cubic root of 104058560 is about 470.3551864693.

The spelling of 104058560 in words is "one hundred four million, fifty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 433 751 866 1502 1732 2165 3004 3464 3755 4330 6008 6928 7510 8660 12016 13856 15020 17320 24032 27712 30040 34640 48064 60080 69280 120160 138560 240320 325183 650366 1300732 1625915 2601464 3251830 5202928 6503660 10405856 13007320 20811712 26014640 52029280 104058560