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1106161080 = 2335232411663
BaseRepresentation
bin100000111101110…
…1010110110111000
32212002102210201220
41001323222312320
54231134123310
6301432512040
736261133263
oct10173526670
92762383656
101106161080
11518443212
1226a54b620
1314822a0ab
14a6ca3cda
15671a1670
hex41eeadb8

1106161080 has 128 divisors (see below), whose sum is σ = 3479224320. Its totient is φ = 280811520.

The previous prime is 1106161079. The next prime is 1106161097. The reversal of 1106161080 is 801616011.

It is a Cunningham number, because it is equal to 332592-1.

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 1106161080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 664329 + ... + 665991.

It is an arithmetic number, because the mean of its divisors is an integer number (27181440).

Almost surely, 21106161080 is an apocalyptic number.

1106161080 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 1106161080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739612160).

1106161080 is an abundant number, since it is smaller than the sum of its proper divisors (2373063240).

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

1106161080 is a wasteful number, since it uses less digits than its factorization.

1106161080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1106161080 is about 33258.9999849665. Note that the first 4 decimals coincide. The cubic root of 1106161080 is about 1034.2037891463.

Adding to 1106161080 its reverse (801616011), we get a palindrome (1907777091).

The spelling of 1106161080 in words is "one billion, one hundred six million, one hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 241 276 345 460 482 552 690 723 920 964 1205 1380 1446 1663 1928 2410 2760 2892 3326 3615 4820 4989 5543 5784 6652 7230 8315 9640 9978 11086 13304 14460 16629 16630 19956 22172 24945 27715 28920 33258 33260 38249 39912 44344 49890 55430 66516 66520 76498 83145 99780 110860 114747 133032 152996 166290 191245 199560 221720 229494 305992 332580 382490 400783 458988 573735 665160 764980 801566 917976 1147470 1202349 1529960 1603132 2003915 2294940 2404698 3206264 4007830 4589880 4809396 6011745 8015660 9218009 9618792 12023490 16031320 18436018 24046980 27654027 36872036 46090045 48093960 55308054 73744072 92180090 110616108 138270135 184360180 221232216 276540270 368720360 553080540 1106161080