Search a number
-
+
1104480 = 253251359
BaseRepresentation
bin100001101101001100000
32002010001200
410031221200
5240320410
635401200
712250026
oct4155140
92063050
101104480
116948a3
12453200
132c8950
1420a716
1516c3c0
hex10da60

1104480 has 144 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 267264.

The previous prime is 1104479. The next prime is 1104491. The reversal of 1104480 is 844011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18691 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

21104480 is an apocalyptic number.

1104480 is a gapful number since it is divisible by the number (10) 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 1104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1104480 is an abundant number, since it is smaller than the sum of its proper divisors (3023280).

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

1104480 is a wasteful number, since it uses less digits than its factorization.

1104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1104480 is about 1050.9424341989. The cubic root of 1104480 is about 103.3679615705.

Adding to 1104480 its reverse (844011), we get a palindrome (1948491).

The spelling of 1104480 in words is "one million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 59 60 65 72 78 80 90 96 104 117 118 120 130 144 156 160 177 180 195 208 234 236 240 260 288 295 312 354 360 390 416 468 472 480 520 531 585 590 624 708 720 767 780 885 936 944 1040 1062 1170 1180 1248 1416 1440 1534 1560 1770 1872 1888 2080 2124 2301 2340 2360 2655 2832 3068 3120 3540 3744 3835 4248 4602 4680 4720 5310 5664 6136 6240 6903 7080 7670 8496 9204 9360 9440 10620 11505 12272 13806 14160 15340 16992 18408 18720 21240 23010 24544 27612 28320 30680 34515 36816 42480 46020 55224 61360 69030 73632 84960 92040 110448 122720 138060 184080 220896 276120 368160 552240 1104480