Search a number
-
+
1104082096 = 241319337829
BaseRepresentation
bin100000111001110…
…1111010010110000
32211221112011220111
41001303233102300
54230121111341
6301320151104
736234354145
oct10163572260
92757464814
101104082096
11517253247
12269908494
1314797ca20
14a68c23cc
1566de0681
hex41cef4b0

1104082096 has 80 divisors (see below), whose sum is σ = 2435087200. Its totient is φ = 480743424.

The previous prime is 1104082093. The next prime is 1104082139. The reversal of 1104082096 is 6902804011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1104082093) 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, 1331410 + ... + 1332238.

It is an arithmetic number, because the mean of its divisors is an integer number (30438590).

Almost surely, 21104082096 is an apocalyptic number.

1104082096 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 1104082096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217543600).

1104082096 is an abundant number, since it is smaller than the sum of its proper divisors (1331005104).

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

1104082096 is a wasteful number, since it uses less digits than its factorization.

1104082096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1104082096 is about 33227.7308283307. The cubic root of 1104082096 is about 1033.5554683965. Note that the first 3 decimals are identical.

The spelling of 1104082096 in words is "one billion, one hundred four million, eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 337 494 674 829 988 1348 1658 1976 2696 3316 3952 4381 5392 6403 6632 8762 10777 12806 13264 15751 17524 21554 25612 31502 35048 43108 51224 63004 70096 83239 86216 102448 126008 166478 172432 204763 252016 279373 332956 409526 558746 665912 819052 1117492 1331824 1638104 2234984 3276208 3631849 4469968 5308087 7263698 10616174 14527396 21232348 29054792 42464696 58109584 69005131 84929392 138010262 276020524 552041048 1104082096