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1104419008 = 267111713183
BaseRepresentation
bin100000111010100…
…0001100011000000
32211222011022001201
41001311001203000
54230212402013
6301331310544
736240256330
oct10165014300
92758138051
101104419008
11517463390
12269a4b454
13147a6a194
14a696d0c0
1566e5a3dd
hex41d418c0

1104419008 has 112 divisors (see below), whose sum is σ = 2893307904. Its totient is φ = 404951040.

The previous prime is 1104419003. The next prime is 1104419021. The reversal of 1104419008 is 8009144011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1104419003) 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, 77185 + ... + 90367.

Almost surely, 21104419008 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 1104419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446653952).

1104419008 is an abundant number, since it is smaller than the sum of its proper divisors (1788888896).

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

1104419008 is a wasteful number, since it uses less digits than its factorization.

1104419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1104419008 is about 33232.8001829518. The cubic root of 1104419008 is about 1033.6605879426.

The spelling of 1104419008 in words is "one billion, one hundred four million, four hundred nineteen thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 13183 20944 26366 41888 52732 83776 92281 105464 145013 184562 210928 224111 290026 369124 421856 448222 580052 738248 843712 896444 1015091 1160104 1476496 1568777 1792888 2030182 2320208 2465221 2952992 3137554 3585776 4060364 4640416 4930442 5905984 6275108 7171552 8120728 9280832 9860884 12550216 14343104 16241456 17256547 19721768 25100432 32482912 34513094 39443536 50200864 64965824 69026188 78887072 100401728 138052376 157774144 276104752 552209504 1104419008