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104505216 = 273318779
BaseRepresentation
bin1100011101010…
…01111110000000
321021122102012120
412032221332000
5203223131331
614211524240
72406164634
oct616517600
9237572176
10104505216
1153a99352
122abb9680
131886030a
14dc44dc4
159294796
hex63a9f80

104505216 has 64 divisors (see below), whose sum is σ = 286579200. Its totient is φ = 33707520.

The previous prime is 104505211. The next prime is 104505221. The reversal of 104505216 is 612505401.

It is an interprime number because it is at equal distance from previous prime (104505211) and next prime (104505221).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104505211) by changing a digit.

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, 7515 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (4477800).

Almost surely, 2104505216 is an apocalyptic number.

104505216 is a gapful number since it is divisible by the number (16) 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 104505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143289600).

104505216 is an abundant number, since it is smaller than the sum of its proper divisors (182073984).

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

104505216 is an equidigital number, since it uses as much as digits as its factorization.

104505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 104505216 is about 10222.7792698463. The cubic root of 104505216 is about 471.0272025976.

The spelling of 104505216 in words is "one hundred four million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 8779 11904 17558 26337 35116 52674 70232 105348 140464 210696 272149 280928 421392 544298 561856 816447 842784 1088596 1123712 1632894 1685568 2177192 3265788 3371136 4354384 6531576 8708768 13063152 17417536 26126304 34835072 52252608 104505216