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1104063120 = 243255572753
BaseRepresentation
bin100000111001110…
…1010101010010000
32211221111012212200
41001303222222100
54230120004440
6301315523200
736234244626
oct10163525220
92757435780
101104063120
1151723aa66
122698b9500
131479741b4
14a68b9516
1566dd9c30
hex41ceaa90

1104063120 has 120 divisors (see below), whose sum is σ = 3715817976. Its totient is φ = 293781504.

The previous prime is 1104063119. The next prime is 1104063127. The reversal of 1104063120 is 213604011.

It is a happy number.

1104063120 is a `hidden beast` number, since 1 + 10 + 4 + 0 + 631 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 982446336 = 11028^2 + 31344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1104063093 and 1104063102.

It is not an unprimeable number, because it can be changed into a prime (1104063127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399664 + ... + 402416.

Almost surely, 21104063120 is an apocalyptic number.

1104063120 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 1104063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857908988).

1104063120 is an abundant number, since it is smaller than the sum of its proper divisors (2611754856).

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

1104063120 is a wasteful number, since it uses less digits than its factorization.

1104063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1104063120 is about 33227.4452824770. The cubic root of 1104063120 is about 1033.5495470793.

Adding to 1104063120 its reverse (213604011), we get a palindrome (1317667131).

It can be divided in two parts, 110406 and 3120, that added together give a triangular number (113526 = T476).

The spelling of 1104063120 in words is "one billion, one hundred four million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 557 720 1114 1671 2228 2753 2785 3342 4456 5013 5506 5570 6684 8259 8355 8912 10026 11012 11140 13368 13765 16518 16710 20052 22024 22280 24777 25065 26736 27530 33036 33420 40104 41295 44048 44560 49554 50130 55060 66072 66840 80208 82590 99108 100260 110120 123885 132144 133680 165180 198216 200520 220240 247770 330360 396432 401040 495540 660720 991080 1533421 1982160 3066842 4600263 6133684 7667105 9200526 12267368 13800789 15334210 18401052 23001315 24534736 27601578 30668420 36802104 46002630 55203156 61336840 69003945 73604208 92005260 110406312 122673680 138007890 184010520 220812624 276015780 368021040 552031560 1104063120