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1105004320 = 25578271193
BaseRepresentation
bin100000111011101…
…0000011100100000
32212000021000221221
41001313100130200
54230340114240
6301352024424
736245244640
oct10167203440
92760230857
101105004320
11517823112
1226a092114
13147c13714
14a6a82520
1567023a4a
hex41dd0720

1105004320 has 96 divisors (see below), whose sum is σ = 2989623168. Its totient is φ = 378083328.

The previous prime is 1105004317. The next prime is 1105004353. The reversal of 1105004320 is 234005011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1105004294 and 1105004303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925644 + ... + 926836.

It is an arithmetic number, because the mean of its divisors is an integer number (31141908).

Almost surely, 21105004320 is an apocalyptic number.

1105004320 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 1105004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494811584).

1105004320 is an abundant number, since it is smaller than the sum of its proper divisors (1884618848).

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

1105004320 is a wasteful number, since it uses less digits than its factorization.

1105004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1105004320 is about 33241.6052560643. The cubic root of 1105004320 is about 1033.8431596818.

Adding to 1105004320 its reverse (234005011), we get a palindrome (1339009331).

The spelling of 1105004320 in words is "one billion, one hundred five million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 827 1120 1193 1654 2386 3308 4135 4772 5789 5965 6616 8270 8351 9544 11578 11930 13232 16540 16702 19088 23156 23860 26464 28945 33080 33404 38176 41755 46312 47720 57890 66160 66808 83510 92624 95440 115780 132320 133616 167020 185248 190880 231560 267232 334040 463120 668080 926240 986611 1336160 1973222 3946444 4933055 6906277 7892888 9866110 13812554 15785776 19732220 27625108 31571552 34531385 39464440 55250216 69062770 78928880 110500432 138125540 157857760 221000864 276251080 552502160 1105004320