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104024096 = 2511319533
BaseRepresentation
bin1100011001101…
…00100000100000
321020201222020022
412030310200200
5203112232341
614153333012
72402122151
oct614644040
9236658208
10104024096
115379a930
122aa07168
1318722327
14db5b928
1591ebe4b
hex6334820

104024096 has 48 divisors (see below), whose sum is σ = 230646528. Its totient is φ = 45753600.

The previous prime is 104024059. The next prime is 104024099. The reversal of 104024096 is 690420401.

It is a super-3 number, since 3×1040240963 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104024099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6146 + ... + 15678.

It is an arithmetic number, because the mean of its divisors is an integer number (4805136).

Almost surely, 2104024096 is an apocalyptic number.

104024096 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 104024096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115323264).

104024096 is an abundant number, since it is smaller than the sum of its proper divisors (126622432).

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

104024096 is a wasteful number, since it uses less digits than its factorization.

104024096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 104024096 is about 10199.2203623610. The cubic root of 104024096 is about 470.3032538169.

Adding to 104024096 its reverse (690420401), we get a palindrome (794444497).

The spelling of 104024096 in words is "one hundred four million, twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 9533 10912 19066 38132 76264 104863 152528 209726 295523 305056 419452 591046 838904 1182092 1677808 2364184 3250753 3355616 4728368 6501506 9456736 13003012 26006024 52012048 104024096