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1106340560 = 245132394451
BaseRepresentation
bin100000111110001…
…0110101011010000
32212002202220221022
41001330112223100
54231210344220
6301440415012
736262511453
oct10174265320
92762686838
101106340560
11518556046
1226a617468
131482909b0
14a6d0d49a
15671d9925
hex41f16ad0

1106340560 has 80 divisors (see below), whose sum is σ = 2782321920. Its totient is φ = 406694400.

The previous prime is 1106340541. The next prime is 1106340563. The reversal of 1106340560 is 650436011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11063405602 = 2447978869402227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106340563) 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, 246335 + ... + 250785.

It is an arithmetic number, because the mean of its divisors is an integer number (34779024).

Almost surely, 21106340560 is an apocalyptic number.

1106340560 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 1106340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391160960).

1106340560 is an abundant number, since it is smaller than the sum of its proper divisors (1675981360).

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

1106340560 is a wasteful number, since it uses less digits than its factorization.

1106340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1106340560 is about 33261.6980925508. The cubic root of 1106340560 is about 1034.2597209815.

Adding to 1106340560 its reverse (650436011), we get a palindrome (1756776571).

The spelling of 1106340560 in words is "one billion, one hundred six million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 239 260 478 520 956 1040 1195 1912 2390 3107 3824 4451 4780 6214 8902 9560 12428 15535 17804 19120 22255 24856 31070 35608 44510 49712 57863 62140 71216 89020 115726 124280 178040 231452 248560 289315 356080 462904 578630 925808 1063789 1157260 2127578 2314520 4255156 4629040 5318945 8510312 10637890 13829257 17020624 21275780 27658514 42551560 55317028 69146285 85103120 110634056 138292570 221268112 276585140 553170280 1106340560