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104416060 = 2257331491
BaseRepresentation
bin1100011100101…
…00001100111100
321021110212220111
412032110030330
5203212303220
614205555404
72405344000
oct616241474
9237425814
10104416060
1153a38371
122ab75b64
131882b868
14dc20700
15927815a
hex639433c

104416060 has 96 divisors (see below), whose sum is σ = 264499200. Its totient is φ = 34574400.

The previous prime is 104416051. The next prime is 104416069. The reversal of 104416060 is 60614401.

It is an interprime number because it is at equal distance from previous prime (104416051) and next prime (104416069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104416069) 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 31 ways as a sum of consecutive naturals, for example, 212415 + ... + 212905.

It is an arithmetic number, because the mean of its divisors is an integer number (2755200).

Almost surely, 2104416060 is an apocalyptic number.

104416060 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 104416060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132249600).

104416060 is an abundant number, since it is smaller than the sum of its proper divisors (160083140).

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

104416060 is a wasteful number, since it uses less digits than its factorization.

104416060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 104416060 is about 10218.4176857281. The cubic root of 104416060 is about 470.8932161459.

The spelling of 104416060 in words is "one hundred four million, four hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 343 434 490 491 620 686 868 980 982 1085 1372 1519 1715 1964 2170 2455 3038 3430 3437 4340 4910 6076 6860 6874 7595 9820 10633 13748 15190 15221 17185 21266 24059 30380 30442 34370 42532 48118 53165 60884 68740 76105 96236 106330 106547 120295 152210 168413 212660 213094 240590 304420 336826 426188 481180 532735 673652 745829 842065 1065470 1491658 1684130 2130940 2983316 3368260 3729145 5220803 7458290 10441606 14916580 20883212 26104015 52208030 104416060