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1104145440 = 25357331511
BaseRepresentation
bin100000111001111…
…1110110000100000
32211221122101210120
41001303332300200
54230130123230
6301321400240
736235036626
oct10163766040
92757571716
101104145440
115172968a2
12269939080
131479a27c8
14a68db516
1566e04310
hex41cfec20

1104145440 has 96 divisors (see below), whose sum is σ = 3525814656. Its totient is φ = 290396160.

The previous prime is 1104145439. The next prime is 1104145447. The reversal of 1104145440 is 445414011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1104145440.

It is not an unprimeable number, because it can be changed into a prime (1104145447) 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, 19285 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (36727236).

Almost surely, 21104145440 is an apocalyptic number.

1104145440 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 1104145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762907328).

1104145440 is an abundant number, since it is smaller than the sum of its proper divisors (2421669216).

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

1104145440 is a wasteful number, since it uses less digits than its factorization.

1104145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31602 (or 31594 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1104145440 is about 33228.6839944046. The cubic root of 1104145440 is about 1033.5752339211.

Adding to 1104145440 its reverse (445414011), we get a palindrome (1549559451).

The spelling of 1104145440 in words is "one billion, one hundred four million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 11680 17520 31511 35040 63022 94533 126044 157555 189066 252088 315110 378132 472665 504176 630220 756264 945330 1008352 1260440 1512528 1890660 2300303 2520880 3025056 3781320 4600606 5041760 6900909 7562640 9201212 11501515 13801818 15125280 18402424 23003030 27603636 34504545 36804848 46006060 55207272 69009090 73609696 92012120 110414544 138018180 184024240 220829088 276036360 368048480 552072720 1104145440