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104441616 = 2433419577
BaseRepresentation
bin1100011100110…
…10011100010000
321021112011222000
412032122130100
5203214112431
614210314000
72405511336
oct616323420
9237464860
10104441616
1153a55594
122ab88900
131883a396
14dc29b56
1592809e6
hex639a710

104441616 has 80 divisors (see below), whose sum is σ = 301022400. Its totient is φ = 34670592.

The previous prime is 104441609. The next prime is 104441621. The reversal of 104441616 is 616144401.

104441616 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 41 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104441616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180720 + ... + 181296.

It is an arithmetic number, because the mean of its divisors is an integer number (3762780).

Almost surely, 2104441616 is an apocalyptic number.

104441616 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 104441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511200).

104441616 is an abundant number, since it is smaller than the sum of its proper divisors (196580784).

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

104441616 is a wasteful number, since it uses less digits than its factorization.

104441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104441616 is about 10219.6680963718. The cubic root of 104441616 is about 470.9316303048.

The spelling of 104441616 in words is "one hundred four million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 419 432 577 838 1154 1257 1676 1731 2308 2514 3352 3462 3771 4616 5028 5193 6704 6924 7542 9232 10056 10386 11313 13848 15084 15579 20112 20772 22626 27696 30168 31158 41544 45252 60336 62316 83088 90504 124632 181008 241763 249264 483526 725289 967052 1450578 1934104 2175867 2901156 3868208 4351734 5802312 6527601 8703468 11604624 13055202 17406936 26110404 34813872 52220808 104441616