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1104541020 = 22325113715077
BaseRepresentation
bin100000111010101…
…1111010101011100
32211222101111102200
41001311133111130
54230230303040
6301334051500
736241305132
oct10165372534
92758344380
101104541020
11517537020
12269aa9b90
13147ab088b
14a69a1752
1566e81630
hex41d5f55c

1104541020 has 144 divisors (see below), whose sum is σ = 3754060128. Its totient is φ = 260513280.

The previous prime is 1104541013. The next prime is 1104541021. The reversal of 1104541020 is 201454011.

1104541020 is a `hidden beast` number, since 1 + 104 + 541 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1104540984 and 1104541002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104541021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65722 + ... + 80798.

It is an arithmetic number, because the mean of its divisors is an integer number (26069862).

Almost surely, 21104541020 is an apocalyptic number.

1104541020 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 1104541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877030064).

1104541020 is an abundant number, since it is smaller than the sum of its proper divisors (2649519108).

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

1104541020 is a wasteful number, since it uses less digits than its factorization.

1104541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1104541020 is about 33234.6358487648. The cubic root of 1104541020 is about 1033.6986515008.

Adding to 1104541020 its reverse (201454011), we get a palindrome (1305995031).

The spelling of 1104541020 in words is "one billion, one hundred four million, five hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 15077 18315 24420 30154 36630 45231 60308 73260 75385 90462 135693 150770 165847 180924 226155 271386 301540 331694 452310 497541 542772 557849 663388 678465 829235 904620 995082 1115698 1356930 1492623 1658470 1673547 1990164 2231396 2487705 2713860 2789245 2985246 3316940 3347094 4975410 5020641 5578490 5970492 6136339 6694188 7463115 8367735 9950820 10041282 11156980 12272678 14926230 16735470 18409017 20082564 24545356 25103205 29852460 30681695 33470940 36818034 50206410 55227051 61363390 73636068 92045085 100412820 110454102 122726780 184090170 220908204 276135255 368180340 552270510 1104541020