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104096608 = 2571183509
BaseRepresentation
bin1100011010001…
…10001101100000
321020212122200221
412031012031200
5203122042413
614155052424
72402543440
oct615061540
9236778627
10104096608
115383a360
122aa41114
1318749335
14db7a120
15921368d
hex6346360

104096608 has 96 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 39989760.

The previous prime is 104096599. The next prime is 104096633. The reversal of 104096608 is 806690401.

It is a super-2 number, since 2×1040966082 = 21672207594211328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204258 + ... + 204766.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2104096608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104096608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

104096608 is an abundant number, since it is smaller than the sum of its proper divisors (154999712).

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

104096608 is a wasteful number, since it uses less digits than its factorization.

104096608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 104096608 is about 10202.7745246085. The cubic root of 104096608 is about 470.4125064162.

The spelling of 104096608 in words is "one hundred four million, ninety-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 83 88 112 154 166 176 224 308 332 352 509 581 616 664 913 1018 1162 1232 1328 1826 2036 2324 2464 2656 3563 3652 4072 4648 5599 6391 7126 7304 8144 9296 11198 12782 14252 14608 16288 18592 22396 25564 28504 29216 39193 42247 44792 51128 57008 78386 84494 89584 102256 114016 156772 168988 179168 204512 295729 313544 337976 464717 591458 627088 675952 929434 1182916 1254176 1351904 1858868 2365832 3253019 3717736 4731664 6506038 7435472 9463328 13012076 14870944 26024152 52048304 104096608