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104830768 = 2473741617
BaseRepresentation
bin1100011111110…
…01011100110000
321022020221210001
412033321130300
5203314041033
614222515344
72412022030
oct617713460
9238227701
10104830768
11541a09a9
122b135b54
1318945553
14dccb8c0
15930ae7d
hex63f9730

104830768 has 80 divisors (see below), whose sum is σ = 244609344. Its totient is φ = 42577920.

The previous prime is 104830751. The next prime is 104830769. The reversal of 104830768 is 867038401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (104830769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169596 + ... + 170212.

Almost surely, 2104830768 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 104830768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304672).

104830768 is an abundant number, since it is smaller than the sum of its proper divisors (139778576).

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

104830768 is a wasteful number, since it uses less digits than its factorization.

104830768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 104830768 is about 10238.6897599253. The cubic root of 104830768 is about 471.5158062539.

The spelling of 104830768 in words is "one hundred four million, eight hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 41 56 74 82 112 148 164 259 287 296 328 518 574 592 617 656 1036 1148 1234 1517 2072 2296 2468 3034 4144 4319 4592 4936 6068 8638 9872 10619 12136 17276 21238 22829 24272 25297 34552 42476 45658 50594 69104 84952 91316 101188 159803 169904 177079 182632 202376 319606 354158 365264 404752 639212 708316 935989 1278424 1416632 1871978 2556848 2833264 3743956 6551923 7487912 13103846 14975824 26207692 52415384 104830768